We study the landscape of solutions of the coherent quantum states in a ring-shaped lattice poten... more We study the landscape of solutions of the coherent quantum states in a ring-shaped lattice potential in the context of ultracold atoms with an effective positive nonlinearity induced by interatomic interactions. The exact analytical solutions in the absence of lattice are used as a starting point, and the transformation of those solutions is mapped as the lattice is introduced and strengthened. This approach allows a simple classification of all the solutions into states with periods commensurate or incommensurate with the lattice period and those with or without nodes. Their origins are traced to the primary dispersion curve and the swallowtail branches of the latticefree spectrum. The commensurate states tend to remain delocalized with increasing lattice depth, whereas the incommensurate ones may be localized. The symmetry and stability properties of the solutions are examined and correlated with branch energies. The crucial importance of rotation is highlighted by its utility in continuously transforming solutions and accessing in a finite ring with a few sites the full spectrum of nonlinear Bloch waves on an infinite lattice.
The mobility of charge carriers in a semiconductor nanowire is explored as a function of increasi... more The mobility of charge carriers in a semiconductor nanowire is explored as a function of increasing radius, assuming low temperatures where impurity scattering dominates. The competition between increased cross-section and the concurrent increase in available scattering channels causes strongly non-monotonic dependence of the mobility on the radius. The inter-band scattering causes sharp declines in the mobility at the wire radii at which each new channel becomes available. At intermediate radii with the number of channels unchanged the mobility is seen to maintain an exponential growth even with multiple channels. We also compare the effects of changing the radial scaling of the impurity distribution. We use transverse carrier wavefunctions that are consistent with boundary conditions and demonstrate that the δ-function approximate transverse profile leads to errors in the case of remote impurities.
We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermion... more We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is independent of the spin-statistics of the components, and zero-sound-like modes exist that are essentially undamped.
h i g h l i g h t s • A modified Leslie-Gower type three species food chain impulsive system is s... more h i g h l i g h t s • A modified Leslie-Gower type three species food chain impulsive system is studied. • The dynamical behavior of the system is extensively investigated. • Sufficient conditions are derived for the global stability and permanence of the system. • Largest Lyapunov exponent demonstrates the chaotic dynamic behavior of the system. • Harvesting effort can cause a stable equilibrium to become unstable even a switching of stabilities.
Pediatric soft tissue sarcomas (STS) are a heterogeneous group of malignant tumors constituting a... more Pediatric soft tissue sarcomas (STS) are a heterogeneous group of malignant tumors constituting about 7% of all cancer cases. Rhabdomyosarcomas (RMS) constitute about half of all soft tissue sarcomas in children, the rest being constituted by non- rhabdomyosarcoma soft tissue sarcomas (NRSTS). Most RMS present in young children <6 y of age while the NRSTS occur in adolescents and young adults. The latter constitute a diverse group of tumors and are rare in children. The STS generally present as painless enlarging mass or with symptoms of compression/infiltration of adjacent organs or structures. Staging, risk stratification and multidisciplinary approach are needed for the treatment of STS and outcome depends on stage, site and histological type. Treatment of RMS has evolved systematically through various clinical trials. Chemotherapy remains the backbone of treatment for RMS and local control is achieved either with surgery or radiotherapy or both. Management of NRSTS is still a challenge as it is generally chemotherapy-resistant and surgery remains the mainstay of treatment. Outcome therefore depends on whether wide local excision with negative margins is possible. Local radiotherapy is reserved for recurrent, residual and large high grade NRST. The prognosis of metastatic as well as recurrent STS remains dismal.
ABSTRACT We experimentally and theoretically investigate the scattering of a Bose-Einstein conden... more ABSTRACT We experimentally and theoretically investigate the scattering of a Bose-Einstein condensate from a single amplitude-modulated potential barrier as a first step towards a turnstile quantum pump.
Advances in Intelligent Systems and Computing, 2015
The exploration of work ability of the new trend in quantum dot cellular automata (QCA)—the terna... more The exploration of work ability of the new trend in quantum dot cellular automata (QCA)—the ternary QCA, is the major focus in this paper. Both physically and electrically, our tQCA approach is proving its excellence in comparison to the existing binary QCA (bQCA). We also propose a model description for tQCA that will help in determining its logic performances while operating it in the nano computing regime.
Garbage count minimization and low power, lossless conservative full adder design and its online ... more Garbage count minimization and low power, lossless conservative full adder design and its online testing in Quantum dot Cellular Automata is prime research interest of this work. Parity preserving reversible logic design as well as conservative logic design is a lossless paradigm in Nanotechnology. Errors can be detected by means of parity in conservative logic design. We introduce a conservative logic gate to design full adder with zero garbage count. The proposed two conservative logic gate (PCLG) is universal in nature. A tester reversible logic gate (TRLG) is designed to perform online test of proposed conservative logic gate (PCLG). We demonstrate the most promising two PCLG and a TRLG to design full adder and to online test of PCLG respectively. We compared our PCLG with well-known Fredkin gate in terms of implementation of thirteen standard functions.
2010 IEEE 2nd International Advance Computing Conference (IACC), 2010
Abstract In the Low power Nanocomputing era, Reversible and Conservative logic gate design is eme... more Abstract In the Low power Nanocomputing era, Reversible and Conservative logic gate design is emerging as an important area of research. In this paper, we present a Novel approach to design conservative logic gate (CLG) using 3Ã Â 3 tile nanostructure, as ...
The most common reasons for discontinuing interferon were depression, fever, and confusion. 4 of ... more The most common reasons for discontinuing interferon were depression, fever, and confusion. 4 of 8 studies analyzed reported HCV genotype and only 2 reported SR by genotype. In these two studies SR did not vary by genotype. 3 studies evaluated greater than 3 MU of interferon with SR ranging from 27%-62% and DO rate ranging from 33%-38%. Conclusions: Our analysis suggests that interferon monotherapy in hemodialysis patients is as effective as combination therapy in patients with normal renal function for the treatment of hepatitis C. The safety and drop out rate with interferon monotherapy at 3 MU TIW is similar in hemodialysis patients compared to those with no renal disease. There is less data available on using more than 3 MU of interferon, but the few published studies suggest that higher doses of interferon have more toxicity leading to higher dropout rates.
Bi-quinary coded parallel adder design with Quantum Cellular Automata is presented in this brief ... more Bi-quinary coded parallel adder design with Quantum Cellular Automata is presented in this brief contribution. The nano-electronic computer architecture using QCA technology is in infancy stage. It requires more advancement with new approaches. In this paper the design of parallel decimal adder is proposed using bi-quinary encoding techniques with algorithm. The circuits are implemented using QCA designer tool and analyzed using simulation result. The signal propagation delay, complexity, required area, hardware cost are calculated and compare with previously proposed decimal QCA adders.
Hemophagocytic lymphohistiocytosis (HLH) is a rare condition of unregulated immune function. Prom... more Hemophagocytic lymphohistiocytosis (HLH) is a rare condition of unregulated immune function. Prompt clinical detection and treatment of the condition is important for survival. Its association with hepatitis A is rare and only limited to case reports. We present a 4-year-old boy with hepatitis A associated HLH and treated successfully with steroid monotherapy. A review of literature has been done for hepatitis A associated secondary HLH.
In this study, we describe a two-zooplankton one-phytoplankton system that exhibits a Holling typ... more In this study, we describe a two-zooplankton one-phytoplankton system that exhibits a Holling type II functional response in the presence of toxicity. Combined effort (E) is used to harvest the population. It is assumed that the phytoplankton is affected directly by an external toxic substance and the feeding of zooplankton on the affected phytoplankton is influenced indirectly by the toxic substance. All possible equilibria are determined for the system and the dynamical behavior of the system is investigated at each equilibrium point. The competitive exclusion principle is used to verify the coexistence of the zooplankton population. In order to incorporate the effects of the periodically varying environment, we consider the periodicity of the parameters and derive sufficient conditions for the uniformly strong persistence of the system. Combined effort, which is used to harvest the population, is treated as a control to develop a dynamic framework for investigating the optimal utilization of the resource, the sustainability properties of the stock, and the benefit earned from the resource, where Pontryagin's maximum principle is used to characterize the optimal control. The optimal system is derived and solved numerically using an iterative method with a Runge-Kutta fourth-order scheme. Our simulation results demonstrate that the optimal control scheme can obtain a sustainable ecosystem.
This article describes a nutrient‐phytoplankton‐zooplankton system with nutrient recycling in the... more This article describes a nutrient‐phytoplankton‐zooplankton system with nutrient recycling in the presence of toxicity. We have studied the dynamical behavior of the system with delayed nutrient recycling in the first part of the article. Uniform persistent of the system is examined. In the second part of the article, we have incorporated diffusion of the plankton population to the system and dynamical behavior of the system is analyzed with instantaneous nutrient recycling. The condition of the diffusion driven instability is obtained. The conditions for the occurrence of Hopf and Turing bifurcation critical line in a spatial domain are derived. Variation of the system with small periodicity of diffusive coefficient has been studied. Stability condition of the plankton system subject to the periodic diffusion coefficient of the zooplankton is derived. It is observed that nutrient‐phytoplankton‐zooplankton interactions are very complex and situation specific. Moreover, we have obtai...
We develop a variational theory of the crossover from the one-dimensional (1D) regime to the 3D r... more We develop a variational theory of the crossover from the one-dimensional (1D) regime to the 3D regime for ultra-cold Bose gases in thin waveguides. Within the 1D regime we map out the parameter space for fermionization, which may span the full 1D regime for suitable transverse confinement.
We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermion... more We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is independent of the spin-statistics of the components, and zero-sound-like modes exist that are essentially undamped.
We study the consequences of interference effects on the current generated by adiabatic quantum p... more We study the consequences of interference effects on the current generated by adiabatic quantum pumping in two distinct one-dimensional (1D) lattice model. The first model contains an Aharonov-Bohm (AB) loop within a tight-binding chain of lattice sites. The static AB phase is shown to strongly affect interference between the two arms of the loop, serving as an on-off switch and regulator for the pumped current. The second model simulates pumping in semiconductors with indirect band-gaps, by utilizing a tight-binding chain with next-nearest-neighbor coupling. The model exhibits signatures of interference between degenerate conduction band states with different Fermi wavevectors.
The dynamics of an atom waveguide X-junction beam splitter becomes truly 1D in a regime of low te... more The dynamics of an atom waveguide X-junction beam splitter becomes truly 1D in a regime of low temperatures and densities and large positive scattering lengths where the transverse mode becomes frozen and the many-body Schrödinger dynamics becomes exactly soluble via a generalized Fermi-Bose mapping theorem. We analyze the interferometric response of a double-X interferometer of this type due to potential differences between the interferometer arms.
We study the landscape of solutions of the coherent quantum states in a ring-shaped lattice poten... more We study the landscape of solutions of the coherent quantum states in a ring-shaped lattice potential in the context of ultracold atoms with an effective positive nonlinearity induced by interatomic interactions. The exact analytical solutions in the absence of lattice are used as a starting point, and the transformation of those solutions is mapped as the lattice is introduced and strengthened. This approach allows a simple classification of all the solutions into states with periods commensurate or incommensurate with the lattice period and those with or without nodes. Their origins are traced to the primary dispersion curve and the swallowtail branches of the latticefree spectrum. The commensurate states tend to remain delocalized with increasing lattice depth, whereas the incommensurate ones may be localized. The symmetry and stability properties of the solutions are examined and correlated with branch energies. The crucial importance of rotation is highlighted by its utility in continuously transforming solutions and accessing in a finite ring with a few sites the full spectrum of nonlinear Bloch waves on an infinite lattice.
The mobility of charge carriers in a semiconductor nanowire is explored as a function of increasi... more The mobility of charge carriers in a semiconductor nanowire is explored as a function of increasing radius, assuming low temperatures where impurity scattering dominates. The competition between increased cross-section and the concurrent increase in available scattering channels causes strongly non-monotonic dependence of the mobility on the radius. The inter-band scattering causes sharp declines in the mobility at the wire radii at which each new channel becomes available. At intermediate radii with the number of channels unchanged the mobility is seen to maintain an exponential growth even with multiple channels. We also compare the effects of changing the radial scaling of the impurity distribution. We use transverse carrier wavefunctions that are consistent with boundary conditions and demonstrate that the δ-function approximate transverse profile leads to errors in the case of remote impurities.
We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermion... more We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is independent of the spin-statistics of the components, and zero-sound-like modes exist that are essentially undamped.
h i g h l i g h t s • A modified Leslie-Gower type three species food chain impulsive system is s... more h i g h l i g h t s • A modified Leslie-Gower type three species food chain impulsive system is studied. • The dynamical behavior of the system is extensively investigated. • Sufficient conditions are derived for the global stability and permanence of the system. • Largest Lyapunov exponent demonstrates the chaotic dynamic behavior of the system. • Harvesting effort can cause a stable equilibrium to become unstable even a switching of stabilities.
Pediatric soft tissue sarcomas (STS) are a heterogeneous group of malignant tumors constituting a... more Pediatric soft tissue sarcomas (STS) are a heterogeneous group of malignant tumors constituting about 7% of all cancer cases. Rhabdomyosarcomas (RMS) constitute about half of all soft tissue sarcomas in children, the rest being constituted by non- rhabdomyosarcoma soft tissue sarcomas (NRSTS). Most RMS present in young children <6 y of age while the NRSTS occur in adolescents and young adults. The latter constitute a diverse group of tumors and are rare in children. The STS generally present as painless enlarging mass or with symptoms of compression/infiltration of adjacent organs or structures. Staging, risk stratification and multidisciplinary approach are needed for the treatment of STS and outcome depends on stage, site and histological type. Treatment of RMS has evolved systematically through various clinical trials. Chemotherapy remains the backbone of treatment for RMS and local control is achieved either with surgery or radiotherapy or both. Management of NRSTS is still a challenge as it is generally chemotherapy-resistant and surgery remains the mainstay of treatment. Outcome therefore depends on whether wide local excision with negative margins is possible. Local radiotherapy is reserved for recurrent, residual and large high grade NRST. The prognosis of metastatic as well as recurrent STS remains dismal.
ABSTRACT We experimentally and theoretically investigate the scattering of a Bose-Einstein conden... more ABSTRACT We experimentally and theoretically investigate the scattering of a Bose-Einstein condensate from a single amplitude-modulated potential barrier as a first step towards a turnstile quantum pump.
Advances in Intelligent Systems and Computing, 2015
The exploration of work ability of the new trend in quantum dot cellular automata (QCA)—the terna... more The exploration of work ability of the new trend in quantum dot cellular automata (QCA)—the ternary QCA, is the major focus in this paper. Both physically and electrically, our tQCA approach is proving its excellence in comparison to the existing binary QCA (bQCA). We also propose a model description for tQCA that will help in determining its logic performances while operating it in the nano computing regime.
Garbage count minimization and low power, lossless conservative full adder design and its online ... more Garbage count minimization and low power, lossless conservative full adder design and its online testing in Quantum dot Cellular Automata is prime research interest of this work. Parity preserving reversible logic design as well as conservative logic design is a lossless paradigm in Nanotechnology. Errors can be detected by means of parity in conservative logic design. We introduce a conservative logic gate to design full adder with zero garbage count. The proposed two conservative logic gate (PCLG) is universal in nature. A tester reversible logic gate (TRLG) is designed to perform online test of proposed conservative logic gate (PCLG). We demonstrate the most promising two PCLG and a TRLG to design full adder and to online test of PCLG respectively. We compared our PCLG with well-known Fredkin gate in terms of implementation of thirteen standard functions.
2010 IEEE 2nd International Advance Computing Conference (IACC), 2010
Abstract In the Low power Nanocomputing era, Reversible and Conservative logic gate design is eme... more Abstract In the Low power Nanocomputing era, Reversible and Conservative logic gate design is emerging as an important area of research. In this paper, we present a Novel approach to design conservative logic gate (CLG) using 3Ã Â 3 tile nanostructure, as ...
The most common reasons for discontinuing interferon were depression, fever, and confusion. 4 of ... more The most common reasons for discontinuing interferon were depression, fever, and confusion. 4 of 8 studies analyzed reported HCV genotype and only 2 reported SR by genotype. In these two studies SR did not vary by genotype. 3 studies evaluated greater than 3 MU of interferon with SR ranging from 27%-62% and DO rate ranging from 33%-38%. Conclusions: Our analysis suggests that interferon monotherapy in hemodialysis patients is as effective as combination therapy in patients with normal renal function for the treatment of hepatitis C. The safety and drop out rate with interferon monotherapy at 3 MU TIW is similar in hemodialysis patients compared to those with no renal disease. There is less data available on using more than 3 MU of interferon, but the few published studies suggest that higher doses of interferon have more toxicity leading to higher dropout rates.
Bi-quinary coded parallel adder design with Quantum Cellular Automata is presented in this brief ... more Bi-quinary coded parallel adder design with Quantum Cellular Automata is presented in this brief contribution. The nano-electronic computer architecture using QCA technology is in infancy stage. It requires more advancement with new approaches. In this paper the design of parallel decimal adder is proposed using bi-quinary encoding techniques with algorithm. The circuits are implemented using QCA designer tool and analyzed using simulation result. The signal propagation delay, complexity, required area, hardware cost are calculated and compare with previously proposed decimal QCA adders.
Hemophagocytic lymphohistiocytosis (HLH) is a rare condition of unregulated immune function. Prom... more Hemophagocytic lymphohistiocytosis (HLH) is a rare condition of unregulated immune function. Prompt clinical detection and treatment of the condition is important for survival. Its association with hepatitis A is rare and only limited to case reports. We present a 4-year-old boy with hepatitis A associated HLH and treated successfully with steroid monotherapy. A review of literature has been done for hepatitis A associated secondary HLH.
In this study, we describe a two-zooplankton one-phytoplankton system that exhibits a Holling typ... more In this study, we describe a two-zooplankton one-phytoplankton system that exhibits a Holling type II functional response in the presence of toxicity. Combined effort (E) is used to harvest the population. It is assumed that the phytoplankton is affected directly by an external toxic substance and the feeding of zooplankton on the affected phytoplankton is influenced indirectly by the toxic substance. All possible equilibria are determined for the system and the dynamical behavior of the system is investigated at each equilibrium point. The competitive exclusion principle is used to verify the coexistence of the zooplankton population. In order to incorporate the effects of the periodically varying environment, we consider the periodicity of the parameters and derive sufficient conditions for the uniformly strong persistence of the system. Combined effort, which is used to harvest the population, is treated as a control to develop a dynamic framework for investigating the optimal utilization of the resource, the sustainability properties of the stock, and the benefit earned from the resource, where Pontryagin's maximum principle is used to characterize the optimal control. The optimal system is derived and solved numerically using an iterative method with a Runge-Kutta fourth-order scheme. Our simulation results demonstrate that the optimal control scheme can obtain a sustainable ecosystem.
This article describes a nutrient‐phytoplankton‐zooplankton system with nutrient recycling in the... more This article describes a nutrient‐phytoplankton‐zooplankton system with nutrient recycling in the presence of toxicity. We have studied the dynamical behavior of the system with delayed nutrient recycling in the first part of the article. Uniform persistent of the system is examined. In the second part of the article, we have incorporated diffusion of the plankton population to the system and dynamical behavior of the system is analyzed with instantaneous nutrient recycling. The condition of the diffusion driven instability is obtained. The conditions for the occurrence of Hopf and Turing bifurcation critical line in a spatial domain are derived. Variation of the system with small periodicity of diffusive coefficient has been studied. Stability condition of the plankton system subject to the periodic diffusion coefficient of the zooplankton is derived. It is observed that nutrient‐phytoplankton‐zooplankton interactions are very complex and situation specific. Moreover, we have obtai...
We develop a variational theory of the crossover from the one-dimensional (1D) regime to the 3D r... more We develop a variational theory of the crossover from the one-dimensional (1D) regime to the 3D regime for ultra-cold Bose gases in thin waveguides. Within the 1D regime we map out the parameter space for fermionization, which may span the full 1D regime for suitable transverse confinement.
We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermion... more We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is independent of the spin-statistics of the components, and zero-sound-like modes exist that are essentially undamped.
We study the consequences of interference effects on the current generated by adiabatic quantum p... more We study the consequences of interference effects on the current generated by adiabatic quantum pumping in two distinct one-dimensional (1D) lattice model. The first model contains an Aharonov-Bohm (AB) loop within a tight-binding chain of lattice sites. The static AB phase is shown to strongly affect interference between the two arms of the loop, serving as an on-off switch and regulator for the pumped current. The second model simulates pumping in semiconductors with indirect band-gaps, by utilizing a tight-binding chain with next-nearest-neighbor coupling. The model exhibits signatures of interference between degenerate conduction band states with different Fermi wavevectors.
The dynamics of an atom waveguide X-junction beam splitter becomes truly 1D in a regime of low te... more The dynamics of an atom waveguide X-junction beam splitter becomes truly 1D in a regime of low temperatures and densities and large positive scattering lengths where the transverse mode becomes frozen and the many-body Schrödinger dynamics becomes exactly soluble via a generalized Fermi-Bose mapping theorem. We analyze the interferometric response of a double-X interferometer of this type due to potential differences between the interferometer arms.
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