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The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate…

Statistical Mechanics · Physics 2012-06-07 A. V. Ponomarev , S. Denisov , J. Gemmer , P. Hänggi

We consider an Ehrenfest approximation for a particle in a double-well potential in the presence of an external environment schematized as a finite resource heat bath. This allows us to explore how the limitations in the applicability of…

Quantum Physics · Physics 2015-10-09 Stephen Choi , Roberto Onofrio , Bala Sundaram

Within quantum mechanics which works with parity-pseudo-Hermitian Hamiltonians we study the tunneling in a symmetric double well formed by two delta functions with complex conjugate strengths. The model is exactly solvable and exhibits…

Quantum Physics · Physics 2009-11-10 Miloslav Znojil

A parametrized double-well potential is proposed to address the issue of the impact of shape deformability of some bistable physical systems, on their quantum dynamics and classical statistical mechanics. The parametrized double-well…

Statistical Mechanics · Physics 2021-10-07 F. Naha Nzoupe , Alain M. Dikande , C. Tchawoua

We study few-boson tunneling in a one-dimensional double well with a spatially modulated interaction. The dynamics changes from Rabi oscillations in the non-interacting case to a highly suppressed tunneling for intermediate coupling…

Quantum Gases · Physics 2010-10-27 Budhaditya Chatterjee , Ioannis Brouzos , Sascha Zöllner , Peter Schmelcher

We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem, induced by projectively measuring the rest of the system. Dubbed deep thermalization, this phenomenon represents a form…

Quantum Physics · Physics 2023-01-04 Matteo Ippoliti , Wen Wei Ho

Experimental measurement of the elliptic flow parameter $v_2$ and hydrodynamic model together showed that thermalization in the central region at the Relativistic Heavy Ion Collider to be perplexingly fast. This is a mystery in itself since…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. H. Wong

Nonequilibrium dynamics and effective thermalization are studied in a resonant tunneling scenario via multilevel Landau-Zener crossings. Our realistic many-body system, composed of two energy bands, naturally allows a separation of degrees…

Quantum Gases · Physics 2014-05-19 Carlos A. Parra-Murillo , Javier Madroñero , Sandro Wimberger

Cold atoms, loaded into an optical lattice with double-well sites, are considered. Pseudospin representation for an effective Hamiltonian is derived. The system in equilibrium displays two phases, ordered and disordered. The second-order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

Sympathetic cooling is the process of energy exchange between a system and a colder bath. We investigate this fundamental process in an atom-ion experiment where the system is composed of a single ion, trapped in a radio-frequency Paul…

Atomic Physics · Physics 2018-08-08 Ziv Meir , Meirav Pinkas , Tomas Sikorsky , Ruti Ben-shlomi , Nitzan Akerman , Roee Ozeri

We study the effects of the environment on tunneling in an open system described by a static double-well potential. We describe the evolution of a quantum state localized in one of the minima of the potential at $t=0$, both in the limits of…

Quantum Physics · Physics 2009-11-11 Nuno D. Antunes , Fernando C. Lombardo , Diana Monteoliva , Paula I. Villar

We analyze the equilibration process between two either fermionic or bosonic reservoirs containing ultracold atoms with a fixed total number of particles that are weakly connected via a few-level quantum system. We allow for both the…

Using the functional-integral method, we investigate the effect of a two-level systems thermal reservoir on the single particle dynamics. We find that at low temperatures, within the sub-ohmic regime, the particle becomes {}``dynamically''…

Mesoscale and Nanoscale Physics · Physics 2007-07-17 A. Villares Ferrer , C. Morais Smith

We employ the multi-configuration time-dependent Hartree method for bosons (MCTDHB) in order to investigate the correlated non-equilibrium quantum dynamics of two bosons confined in two colliding and uniformly accelerated Gaussian wells. As…

Quantum Physics · Physics 2021-04-22 Fabian Köhler , Peter Schmelcher

We review two recent results on the ground state properties of bosonic systems trapped by a double well external potential. In the limit of large population and large separation between the wells we prove that fluctuations in the number of…

Mathematical Physics · Physics 2022-07-13 Alessandro Olgiati

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

Quantum Physics · Physics 2011-07-05 D. M. Valente , A. O. Caldeira

Chaotic tunneling in a driven double-well system is investigated in absence as well as in the presence of dissipation. As the constitutive mechanism of chaos-assisted tunneling, we focus on the dynamics in the vicinity of three-level…

Condensed Matter · Physics 2022-09-21 Peter Hanggi , Sigmund Kohler , Thomas Dittrich

Thermodynamic resources, beyond their well-known usefulness in work extraction and other thermodynamic tasks, are often important also in tasks that are not evidently thermodynamic. Here we develop a framework for identifying such resources…

Quantum Physics · Physics 2021-03-31 Varun Narasimhachar , Syed Assad , Felix C. Binder , Jayne Thompson , Benjamin Yadin , Mile Gu

We study theoretically a scheme in which particles from an incident beam are trapped in a potential well when colliding with particles already present in the well. The balance between the arrival of new particles and the evaporation of…

Statistical Mechanics · Physics 2009-11-07 C. F. Roos , P. Cren , D. Guéry-Odelin , J. Dalibard

Here we consider an analytically tractable model of a two level quantum system subject to random shocks and prove that it decays asymptotically to a trivial state, that is, to a state in which the two levels have equal probability of…

Quantum Physics · Physics 2025-08-29 Henryk Gzyl
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