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The eigenstate thermalization hypothesis (ETH) attempts to bridge the gap between quantum mechanical and statistical mechanical descriptions of isolated quantum systems. Here, we define unbiased measures for how well the ETH works in…

Statistical Mechanics · Physics 2016-05-04 Pavan Hosur , Xiao-Liang Qi

The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QPT) and excited state quantum phase transitions (ESQPT). The…

Quantum Physics · Physics 2016-10-12 Miguel A. Bastarrachea-Magnani , Sergio Lerma-Hernández , Jorge G. Hirsch

The study of collective excitations is a crucial tool for understanding many-body quantum systems. For instance, they play a central role in the exploration of superfluidity and other quantum macroscopic phenomena in Bose and Fermi systems.…

Quantum Gases · Physics 2025-02-21 A. del Río-Lima , J. A. Seman , R. Jáuregui , F. J. Poveda-Cuevas

In this work we present a formalism to describe non equilibrium conditions in systems with a discretized energy spectrum, such as quantum systems. We develop a formalism based on a combination of Gibbs-Shannon entropy and information…

Statistical Mechanics · Physics 2013-07-23 Alessio Gagliardi , Alessandro Pecchia , Aldo Di Carlo

A method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Bosons in the limit where the reached temperature T is close to the critical temperature $T_c$ for a Bose condensate at a…

Nuclear Theory · Physics 2015-05-28 Hua Zheng , Aldo Bonasera

Self-consistent approach for interacting phonons description in lattice, which generalized Debye model, is proposed. Notion of "self-consistent" phonons is introduced, speed of which depends on temperature and is determined from non-linear…

Statistical Mechanics · Physics 2015-11-24 Yuri Poluektov , Volodymyr Savchenko

It is known that the origin of the deviations from standard thermodynamics proceed from the strong coupling to the bath. Here, it is shown that these deviations are related to the power spectrum of the bath. Specifically, it is shown that…

Quantum Physics · Physics 2015-08-26 Johan F. Triana

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions…

Quantum Physics · Physics 2018-06-14 Harry J. D. Miller , Janet Anders

A classic route for destroying long-lived electronic quasiparticles in a weakly interacting Fermi liquid is to couple them to other low-energy degrees of freedom that effectively act as a bath. We consider here the problem of electrons…

Strongly Correlated Electrons · Physics 2023-01-27 Adam J. McRoberts , J. F. Mendez-Valderrama , Roderich Moessner , Debanjan Chowdhury

We investigate theoretically the energy exchange between electrons of two co-propagating, out-of-equilibrium edge states with opposite spin polarization in the integer quantum Hall regime. A quantum dot tunnel-coupled to one of the edge…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Anders Mathias Lunde , Simon E. Nigg

Previous experimental realizations of Dicke model in atomic or ionic systems are based on global observables assuming uniform spin-boson coupling, while inevitable experimental nonuniformity on the one hand requires site-resolved…

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 reveal an intriguing anomaly in the temperature dependence of the specific heat of a one-dimensional Bose gas. The observed peak holds for arbitrary interaction and remembers a superfluid-to-normal phase transition in higher dimensions,…

Quantum Gases · Physics 2022-08-31 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

Statistical Mechanics · Physics 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

A theoretical model is developed for treating super conductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Y. Ben-Aryeh

According to the eigenstate thermalization hypothesis (ETH), the eigenstate-to-eigenstate fluctuations of expectation values of local observables should decrease with increasing system size. In approaching the thermodynamic limit - the…

Statistical Mechanics · Physics 2021-04-14 Goran Nakerst , Masudul Haque

Bose-Einstein condensation is unique among phase transitions between different states of matter in the sense that it occurs even in the absence of interactions between particles. In Einstein's textbook picture of an ideal gas, purely…

Recent experiments in hybrid-quantum systems facilitate the potential realization of one of the most fundamental interacting Hamiltonian-Reservoir system, namely, the single-site Bose-Hubbard model coupled to two reservoirs at different…

Quantum Physics · Physics 2017-01-02 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

Low-temperature specific-heat study has been performed on the insulating giant dielectric constant material CaCu3Ti4O12 and two related compounds, Bi2/3Cu3Ti4O12 and La0.5Na0.5Cu3Ti4O12, from 0.6 to 10 K. From analyzing the specific heat…

Materials Science · Physics 2009-11-13 C. P. Sun , Jianjun Liu , J. -Y. Lin , Chun-gang Duan , W. N. Mei , H. D. Yang