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Eigenstate thermalization hypothesis (ETH) is discussed. We show that one common formulation of ETH does not necessarily imply thermalization of an observable of isolated many body quantum system. To get thermalization one has to postulate…

Statistical Mechanics · Physics 2020-02-06 Oleg Inozemcev , Igor Volovich

We consider a specific instance of a superconducting circuit, the so-called charge-qubit, consisting of a capacitor and a Josephson junction. Starting from the microscopic description of the latter in terms of two tunneling BCS models in…

Quantum Physics · Physics 2023-04-27 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer , F. Valiera

Ergodicity has been one of the fundamental concepts underpinning our understanding of thermalization in isolated systems since the first developments in classical statistical mechanics. Recently, a similar notion has been introduced for…

Quantum Physics · Physics 2025-08-20 Leonard Logaric , John Goold , Shane Dooley

Under unitary time evolution, expectation values of physically reasonable observables often evolve towards the predictions of equilibrium statistical mechanics. The eigenstate thermalization hypothesis (ETH) states that this is also true…

Statistical Mechanics · Physics 2018-04-19 Fabio Anza , Christian Gogolin , Marcus Huber

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

Developments in the thermodynamics of small quantum systems envisage non-classical thermal machines. In this scenario, energy fluctuations play a relevant role in the description of irreversibility. We experimentally implement a quantum…

We investigate the spatial statistics of the energy eigenfunctions on large quantum graphs. It has previously been conjectured that these should be described by a Gaussian Random Wave Model, by analogy with quantum chaotic systems, for…

Chaotic Dynamics · Physics 2015-05-18 S. Gnutzmann , J. P. Keating , F. Piotet

We reformulate the Floquet theory for periodically driven quantum systems following a perfect analogy with the proof of Bloch theorem. We observe that the current standard method for calculating the Floquet eigenstates by the quasi-energy…

Quantum Physics · Physics 2022-06-01 Cristian M. Le , Ryosuke Akashi , Shinji Tsuneyuki

Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Potthoff , Matthias Balzer

The manipulation of many-body systems often involves time-dependent forces that cause unwanted heating. One strategy to suppress heating is to use time-periodic (Floquet) forces at large driving frequencies. For quantum spin systems with…

Quantum Gases · Physics 2021-08-25 Emanuele G. Dalla Torre , David Dentelski

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 the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Samudra Sur , Diptiman Sen

One of the principal objectives of quantum thermodynamics is to explore quantum effects and their potential beneficial role in thermodynamic tasks like work extraction or refrigeration. So far, even though several papers have already shown…

Quantum Physics · Physics 2019-04-22 C. L. Latune , I. Sinayskiy , F. Petruccione

The excitation by a high frequency field of multi--level quantum systems with a slowly varying density of states is investigated. A general approach to study such systems is presented. The Floquet eigenstates are characterized on several…

Condensed Matter · Physics 2009-10-28 Naama Brenner , Shmuel Fishman

A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

Statistical Mechanics · Physics 2013-03-21 Yu. M. Poluektov

We investigate the emergence of thermalization in a quantum field-theoretic model mimicking the production of jets in QCD -- the massive Schwinger model coupled to external sources. Specifically, we compute the expectation values of local…

High Energy Physics - Phenomenology · Physics 2025-06-19 Adrien Florio , David Frenklakh , Sebastian Grieninger , Dmitri E. Kharzeev , Andrea Palermo , Shuzhe Shi

We study the quantum Fisher information (QFI) and, thus, the multipartite entanglement structure of thermal pure states in the context of the Eigenstate Thermalization Hypothesis (ETH). In both the canonical ensemble and the ETH, the…

Statistical Mechanics · Physics 2020-02-04 Marlon Brenes , Silvia Pappalardi , John Goold , Alessandro Silva

We present a microscopic theory of ground-state spectral function of bilayer quantum Hall systems that includes interactions between Hartree-Fock quasiparticles and quantum fluctuations of the order parameter field. The collective modes in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yogesh N. Joglekar , Allan H. MacDonald

Quantum circuits have become a powerful tool in the study of many-body quantum physics, providing insights into both fast-thermalizing chaotic and non-thermalizing integrable many-body dynamics. In this work, we explore a distinct…

Disordered Systems and Neural Networks · Physics 2024-10-31 Richard D. Barney , Yunxiang Liao , Victor Galitski

For a simple illustrative model Hamiltonian for Xenon in low frequency linearly polarized laser field we obtain a remarkable agreement between the zero-order energy as well as amplitude and phase of the zero-order Floquet states and the…

Atomic Physics · Physics 2015-02-17 Hanna Martiskainen , Nimrod Moiseyev