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We study the dynamics of a particle tunneling between the ground states of a symmetric double potential well system, in the presence of simultaneous diagonal and non-diagonal couplings to an Ohmic oscillator bath. We use the…

Quantum Physics · Physics 2021-09-21 Leonard Ruocco

This article is an attempt to provide a link between the quantum nonequilibrium dynamics of cold gases and fifty years of progress in the lowdimensional quantum chaos. We identify two atomic systems lying on the interface: two interacting…

Quantum Gases · Physics 2015-05-19 Cavan Stone , Yassine Ait El Aoud , Vladimir A Yurovsky , Maxim Olshanii

The observation of non-classical correlations arising in interacting two to size weakly coupled Bose-Einstein condensates was recently reported by Esteve et al. [Nature 455, 1216 (2008)]. In order to observe fluctuations below the standard…

Quantum Gases · Physics 2015-05-14 Andrew J Ferris , Matthew J Davis

The quantum mechanical behavior of a particle in a double well defies our intuition based on classical reasoning. Not surprisingly, an asymmetry in the double well will restore results more consistent with the classical picture. What is…

Quantum Physics · Physics 2015-11-17 T. Dauphinee , F. Marsiglio

A comprehensive analysis of the exact unitary dynamics of two-component mass-imbalanced fermions in a one-dimensional double-well potential is accomplished by considering the total number of particles maximum up to six. The simultaneous…

Quantum Gases · Physics 2020-06-02 Dillip K. Nandy , Tomasz Sowiński

Equilibrium properties of many-body systems with a large number of degrees of freedom are generally expected to be described by statistical mechanics. Such expectations are closely tied to the observation of thermalization, as manifested…

Quantum Gases · Physics 2025-08-08 Yulong Qiao , Frank Großmann , Peter Schlagheck , Gabriel M. Lando

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

We theoretically analyze the dynamics of an atomic double-well system with a single ion trapped in its center. We find that the atomic tunnelling rate between the wells depends both on the spin of the ion via the short-range spin-dependent…

Quantum Physics · Physics 2015-06-19 Jannis Joger , Antonio Negretti , Rene Gerritsma

We investigate the dynamics of two-component Bose-Josephson junction composed of atom-molecule BECs. Within the semiclassical approximation, the multi-degree of freedom of this system permits chaotic dynamics, which does not occur in…

Quantum Gases · Physics 2009-11-11 A. Motohashi , T. Nikuni

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

Statistical Mechanics · Physics 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia

We study the full-fledged microscopic dynamics of two interacting, ultracold bosons in a one- dimensional double-well potential, through the numerically exact diagonalization of the many-body Hamiltonian. With the particles initially…

Quantum Physics · Physics 2013-05-15 Stefan Hunn , Klaus Zimmermann , Moritz Hiller , Andreas Buchleitner

For an asymmetric double-well potential system, it is shown that, if the potential is quadratic until it reaches several times of the zero-point energies from the bottoms in each well, the energy eigenvalues of the low lying excited states…

Quantum Physics · Physics 2015-03-18 Dae-Yup Song

Time analysis of oscillations of a particle between wells in the one-dimensional double-well potential with infinite high outside walls, based on wave packet use and energy spectrum analysis, is presented. For the double-well potential of…

Nuclear Theory · Physics 2007-05-23 Sergei P. Maydanyuk

In this work we consider the non-equilibrium dynamics of two tunnel coupled bosonic gases which are created from the coherent splitting of a one-dimensional gas. The consequences of the tunneling both in the non-stationary regime as well as…

Quantum Gases · Physics 2017-08-02 Laura Foini , Thierry Giamarchi

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles,…

We consider a theoretical model of a four-mode Bose-Hubbard model consisting of two pairs of wells coupled via two processes with two different rates. The model is naturally divided into two subsystems with strong intra-system coupling and…

Quantum Physics · Physics 2015-05-20 C. V. Chianca , M. K. Olsen

We propose to experimentally realize an odd parity eigenstate $\left\vert b\right\rangle $ of two atoms in the double well. The occupation probability of this state shows evident dependence on the interaction, distinct from the result of…

Quantum Gases · Physics 2015-05-20 Yanxia Liu , Yunbo Zhang

We discuss the relaxation dynamics for a bosonic tunneling junction with two modes in the central potential well. We use a master equation description for ultracold bosons tunneling in the presence of noise and incoherent coupling processes…

Quantum Gases · Physics 2017-12-29 David Fischer , Sandro Wimberger

Semiclassical transition probabilities characterize transfer of energy between "hard" and "soft" modes in various physical systems. We establish the boundary problem for singular euclidean solutions used to calculate such probabilities.…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Yu. Khlebnikov

When a non-integrable system evolves out of equilibrium for a long time, local observables are expected to attain stationary expectation values, independent of the details of the initial state. However, intriguing experimental results with…

Quantum Physics · Physics 2011-05-17 Mari Carmen Bañuls , J. Ignacio Cirac , Matthew B. Hastings