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The emergence of statistical mechanics from quantum dynamics is a central problem in quantum many-body physics. Deriving observables aligned with the prediction of the canonical ensemble for a quantum system relies on the presence of a bath…

Statistical Mechanics · Physics 2026-01-05 Nikolay V. Gnezdilov , Andrei I. Pavlov

We revisit the J1-J2 frustrated Heisenberg spin-1/2 chain with dimerization ({\delta}) or modulation in the nearest-neighbor couplings to investigate its thermalization behavior. While the dimerization tends to induce localization, the…

Statistical Mechanics · Physics 2025-08-05 Smitarani Mishra , Shaon Sahoo

The Eigenstate Thermalization Hypothesis explains thermalization in isolated quantum systems through the statistical properties of observables in the energy eigenbasis. We investigate the crossover from integrability to chaos in the…

Quantum Physics · Physics 2026-01-15 Shivam Mishra , C Jisha , Ravi Prakash

Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an open quantum system perspective, examining an isolated setup…

Quantum Physics · Physics 2025-01-15 Krzysztof Ptaszynski , Massimiliano Esposito

By developing a semi-classical analysis based on the Eigenstate Thermalization Hypothesis, we determine the long time behavior of a large spin evolving with a nonlinear Hamiltonian. Despite integrable classical dynamics, we find the…

Quantum Physics · Physics 2020-11-10 Shane P. Kelly , Eddy Timmermans , S. -W. Tsai

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

Statistical Mechanics · Physics 2017-07-06 Vincenzo Alba , Maurizio Fagotti

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

Understanding how an isolated quantum system evolves toward a thermal state from an initial state far from equilibrium such as one prepared by a global quantum quench has attracted significant interest in recent years. This phenomenon can…

High Energy Physics - Theory · Physics 2025-01-23 Mohsen Alishahiha , Mohammad Javad Vasli

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

We derive a necessary and sufficient condition for the thermalization of a local observable in a closed quantum system which offers an alternative explanation, independent of the eigenstate thermalization hypothesis, for the thermalization…

Statistical Mechanics · Physics 2014-04-11 J. Sirker , N. P. Konstantinidis , F. Andraschko , N. Sedlmayr

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

Thermalization of an isolated quantum system has been a nontrivial problem since the early days of quantum mechanics. In generic isolated quantum systems, nonequilibrium dynamics is expected to result in thermalization, indicating the…

Quantum Physics · Physics 2024-04-22 Tanmay Saha , Pratik Ghosal , Pratapaditya Bej , Abhishek Banerjee , Prasenjit Deb

If we prepare an isolated, interacting quantum system in an eigenstate and perturb a local observable at an initial time, its expectation value will relax towards a thermal expectation value, even though the time evolution of the system is…

Quantum Physics · Physics 2024-06-04 Tobias Helbig , Tobias Hofmann , Ronny Thomale , Martin Greiter

Eigenstate Thermalization Hypothesis provides one picture of thermalization in a quantum system by looking at individual eigenstates. However, it is also important to consider how local observables reach equilibrium values dynamically.…

Statistical Mechanics · Physics 2017-02-28 Cheng-Ju Lin , Olexei I. Motrunich

We investigate the thermodynamic behavior of open quantum systems through the Hamiltonian of Mean Force, focusing on two models: a two-qubit system interacting with a thermal bath and a Jaynes-Cummings Model without the rotating wave…

Quantum Physics · Physics 2025-09-03 Neha Pathania , Devvrat Tiwari , Subhashish Banerjee

We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with mean field interaction. This mathematically verifies the observation made in [L.Santos and…

Statistical Mechanics · Physics 2023-12-22 Shoki Sugimoto , Joscha Henheik , Volodymyr Riabov , László Erdős

Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 $XXZ$ chain, we show that locally…

Statistical Mechanics · Physics 2020-08-14 Marlon Brenes , Tyler LeBlond , John Goold , Marcos Rigol

A strongly non-integrable system is expected to satisfy the eigenstate thermalization hypothesis, which states that the expectation value of an observable in an energy eigenstate is the same as the thermal value. This must be revised if the…

Statistical Mechanics · Physics 2015-11-04 Keith R. Fratus , Mark Srednicki

We use trapped atomic ions forming a hybrid Coulomb crystal, and exploit its phonons to study an isolated quantum system composed of a single spin coupled to an engineered bosonic environment. We increase the complexity of the system by…

Quantum Physics · Physics 2016-10-21 Govinda Clos , Diego Porras , Ulrich Warring , Tobias Schaetz

In 1937 the Jahn-Teller (JT) effect addressed the instability (potential or actual) of non-linear symmetric molecules with degenerate orbital electronic states. In view of the large variety of JT activity that has taken place since then, we…

Other Condensed Matter · Physics 2007-05-23 R. Englman , A. Yahalom