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Inspired by new trends in atomtronics, cold atoms devices and Bose-Einstein condensate dynamics, we apply a general technique of N=4 extended Supersymmetric Quantum Mechanics to isospectral Hamiltonians with triple-well potentials, i.e.…

Quantum Physics · Physics 2013-03-05 V. P. Berezovoj , M. I. Konchatnij , A. J. Nurmagambetov

Many processes in nature seem to be entirely controlled by transition rates and the corresponding statistical dynamics. Some of them are in essence quantum, like the decay of excited states, the tunneling through barriers or the decay of…

Quantum Physics · Physics 2007-05-23 Jochen Gemmer , Mathias Michel

There has been considerable recent interest in the consequences of closed timelike curves (CTCs) for the dynamics of quantum mechanical systems. A vast majority of research into this area makes use of the dynamical equations developed by…

Quantum Physics · Physics 2015-03-17 Joel J. Wallman , Stephen D. Bartlett

We have studied the collective phenomena of multicomponent glasses at ultra low temperatures [Strehlow, et. al, Phys. Rev. Lett 80, 5361 (1998)] by taking into account the proper interaction between tunneling centers. We have considered…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Langari

We investigate numerically parametrically driven coupled nonlinear Schrodinger equations modelling the dynamics of coupled wavefields in a periodically oscillating double-well potential. The equations describe among other things two coupled…

Quantum Gases · Physics 2014-01-29 H. Jiang , H. Susanto , T. M. Benson , K. A. Cliffe

We present theory and calculations for coherent high-fidelity quantum control of many-particle states in semiconductor quantum wells. We show that coupling a two-electron double quantum dot to a terahertz optical source enables targeted…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 E. Rasanen , T. Blasi , M. F. Borunda , E. J. Heller

A semiclassical method for the calculation of tunneling exponent in systems with many degrees of freedom is developed. We find that corresponding classical solution as function of energy form several branches joint by bifurcation points. A…

Quantum Physics · Physics 2007-05-23 F. Bezrukov , D. Levkov

We present a set of modified quantum rate equations, with the help of the nonequilibrium Green's function and slave-particle techniques along with the correct quantization, for description of the quantum transport through an interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei

This paper examines the nature of classical correspondence in the case of coherent states at the level of quantum trajectories. We first show that for a harmonic oscillator, the coherent state complex quantum trajectories and the complex…

Quantum Physics · Physics 2015-05-27 Moncy V. John , Kiran Mathew

In this paper we propose a self--consistent approach to the description of temporal dynamics of localized states. This approach is based on exactly solvable quantum mechanical models with multi-well potentials and their propagators. States…

High Energy Physics - Theory · Physics 2015-05-28 V. P. Berezovoj , M. I. Konchatnij

We have studied the problem of coherent and sequential tunneling through a double barrier structure, assisted by light considered to be present All over the structure, i,e emitter, well and collector as in the experimental evidence. By…

Condensed Matter · Physics 2009-10-22 J. Inarrea , G. Platero , C. Tejedor

We propose a selfconsistent microscopic model of vertical sequential tunneling through a multi-quantum well.The model includes a detailed description of the contacts,uses the Transfer Hamiltonian for expressions of the current and it treats…

Condensed Matter · Physics 2009-10-30 Ramon Aguado , Gloria Platero , Miguel Moscoso , Luis L. Bonilla

A canonical framework for chiral two--level systems coupled to a bath of harmonic oscillators is developed to extract, from a stochastic dynamics, the thermodynamic equilibrium values of both the population difference and coherences. The…

Statistical Mechanics · Physics 2013-08-26 H. C. Peñate-Rodriguez , A. Dorta-Urra , P. Bargueno , G. Rojas-Lorenzo , S. Miret-Artes

We propose an experimental feasible method for controlling the atomic currents of a two-component Bose-Einstein condensate in a double well by applying an external field to the atoms in one of the potential wells. We study the ground-state…

Quantum Physics · Physics 2015-06-03 H. T. Ng , Shih-I Chu

We present a consistent framework of coupled classical and quantum dynamics. Our result allows us to overcome severe limitations of previous phenomenological approaches, like evolutions that do not preserve the positivity of quantum states…

Quantum Physics · Physics 2009-10-31 Lajos Diosi , Nicolas Gisin , Walter T. Strunz

We present a path - integral approach to treat a 2D model of a quantum bifurcation. The model potential has two equivalent minima separated by one or two saddle points, depending on the value of a continuous parameter. Tunneling is…

Statistical Mechanics · Physics 2009-11-07 V. A. Benderskii , E. V. Vetoshkin , E. I. Kats , L. D. Landau , H. P. Trommsdorff

We consider the Cauchy problem of the system of nonlinear Schr\"odinger equations with derivative nonlinearlity. This system was introduced by Colin-Colin (2004) as a model of laser-plasma interactions. We study existence of ground state…

Analysis of PDEs · Mathematics 2023-07-06 Hiroyuki Hirayama , Masahiro Ikeda

We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space ${\cal C}$ of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the…

Quantum Physics · Physics 2015-06-26 J. M. Isidro

The creation of tunable open quantum systems is becoming feasible in current experiments with ultracold atoms in low-dimensional traps. In particular, the high degree of experimental control over these systems allows detailed studies of…

Quantum Gases · Physics 2015-04-17 R. Lundmark , C. Forssén , J. Rotureau

We study quantum-mechanical tunneling between symmetry-related pairs of regular phase space regions that are separated by a chaotic layer. We consider the annular billiard, and use scattering theory to relate the splitting of…

Condensed Matter · Physics 2009-10-28 Eyal Doron , Steffen D. Frischat