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Exactly solvable models that exhibit quantum signatures of classical chaos are both rare as well as important - more so in view of the fact that the mechanisms for ergodic behavior and thermalization in isolated quantum systems and its…

Quantum Physics · Physics 2019-06-26 Shruti Dogra , Vaibhav Madhok , Arul Lakshminarayan

Open quantum systems that comply with the master equation and detailed balance decay in a non-oscillatory manner to thermal equilibrium. Beyond the weak coupling limit, systems that break microreversibility (e.g., in the presence of…

Quantum Physics · Physics 2025-05-26 Shay Blum , David Gelbwaser-Klimovsky

There is much interest in how quantum systems thermalize after a sudden change, because unitary evolution should preclude thermalization. The eigenstate thermalization hypothesis resolves this because all observables for quantum states in a…

Quantum Gases · Physics 2014-08-22 H. Fotso , K. Mikelsons , J. K. freericks

We study thermalization of a two-component Bose-Hubbard model by exact diagonalization. Initially the two components do not interact and are each at equilibrium but with different temperatures. As the on-site inter-component interaction is…

Statistical Mechanics · Physics 2013-08-27 J. M. Zhang , C. Shen , W. M. Liu

We question the microcanonical hypothesis, often made to account for the thermalization of complex closed quantum systems, on the specific example of a chain of two-level atoms optically driven by a resonant laser beam and strongly…

Quantum Physics · Physics 2016-02-05 Ruben Y. Cohen , Etienne Brion , Frédéric Grosshans

We highlight a dynamical anomaly in which the rate of relaxation towards thermal equilibrium in a bi-partite quantum system violates the standard linear-response (Kubo) formulation, even when the underlying dynamics is highly chaotic. This…

Quantum Gases · Physics 2015-02-26 Christine Khripkov , Amichay Vardi , Doron Cohen

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 study quantum quenches between integrable and nonintegrable hard-core boson models in the thermodynamic limit with numerical linked cluster expansions. We show that while quenches in which the initial state is a thermal equilibrium state…

Statistical Mechanics · Physics 2016-03-11 Marcos Rigol

Quantum thermalization occurs in a broad class of systems from elementary particles to complex materials. Out-of-equilibrium quantum systems have long been understood to either thermalize or retain memory of their initial states, but not…

Quantum Physics · Physics 2025-02-20 Luheng Zhao , Prithvi Raj Datla , Weikun Tian , Mohammad Mujahid Aliyu , Huanqian Loh

Using holographic duality, we investigate thermalization process when two finite-size quantum critical systems are brought into thermal contact along a perfectly transmitting interface. Through real-time simulations of gravitational…

High Energy Physics - Theory · Physics 2025-09-09 Li Li , Yan Liu , Hao-Tian Sun

On a quantum superconducting processor we observe partial and infinite-temperature thermalization induced by a sequence of repeated quantum projective measurements, interspersed by a unitary (Hamiltonian) evolution. Specifically, on a qubit…

Quantum Physics · Physics 2023-06-22 Alessandro Santini , Andrea Solfanelli , Stefano Gherardini , Guido Giachetti

Previously we numerically showed that thermalization can occur in an oscillating Bose-Einstein condensate (BEC) with a disordered harmonic trap when healing length $\xi$ of the condensate is shorter than the correlation length $\sigma_{D}$…

Quantum Gases · Physics 2018-07-31 Che-Hsiu Hsueh , Makoto Tsubota , Wen-Chin Wu

Starting from a set of coupled Boltzmann equations, we investigate the thermalization of a two-species cold atomic gas confined either in a box or in an isotropic harmonic trap. We show that the thermalization times, by contrast to the…

Other Condensed Matter · Physics 2008-09-15 Marco Anderlini , David Guery-Odelin

Two zero-range-interacting atoms in a circular, transversely harmonic waveguide are used as a test-bench for a quantitative description of the crossover between integrability and chaos in a quantum system with no selection rules. For such…

Quantum Gases · Physics 2015-05-14 Maxim Olshanii , Vladimir Yurovsky

A quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an equilibrium occupation number distribution in close…

chao-dyn · Physics 2019-08-17 F. Borgonovi , I. Guarneri , F. M. Izrailev , G. Casati

The thermodynamical properties of a system of two coupled harmonic oscillators in the presence of an uniform magnetic field B are investigated. Using an unitary transformation, we show that the system can be diagonalized in simple way and…

Statistical Mechanics · Physics 2010-01-28 Mohammed Daoud , Mohamed El Bouziani , Rachid Houca , Ahmed Jellal

We study the ultimate bounds on the estimation of temperature for an interacting quantum system. We consider two coupled bosonic modes that are assumed to be thermal and using quantum estimation theory establish the role the Hamiltonian…

Quantum Physics · Physics 2017-10-04 Steve Campbell , Mohammad Mehboudi , Gabriele De Chiara , Mauro Paternostro

A characteristic feature of thermalized non-equilibrated matter is that, in spite of energy relaxation--equilibration, a phase memory of the way the many-body system was excited remains. As an example, we analyze data on a strong forward…

Superconductivity · Physics 2011-11-09 L. Benet , M. Bienert , S. Yu. Kun

Thermalization processes degrade the states of any working medium, turning any initial state into a passive state from which no work can be extracted. Recently, it has been shown that this degradation can be avoided if two identical…

Quantum Physics · Physics 2025-07-08 Kyrylo Simonov , Saptarshi Roy , Tamal Guha , Zoltán Zimborás , Giulio Chiribella

Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many- body systems. In the classical case, chaos is a…

Statistical Mechanics · Physics 2019-06-26 Yuri D. Lensky , Xiao-Liang Qi