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This article presents a study of the grand canonical Bose-Einstein (BE) statistics for a finite number of particles in an arbitrary quantum system. The thermodynamical quantities that identify BE condensation -- namely, the fraction of…

Quantum Gases · Physics 2021-10-27 Pedro Pessoa

We study the finite temperature (FT) effects on integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) as predicted by the composite fermion model. We find that at $T\neq 0$, universality is lost, as is quantization…

Condensed Matter · Physics 2019-08-17 Sudhansu S. Mandal , S. Ramaswamy , V. Ravishankar

When a quantum system is quenched from its ground state, the time evolution can lead to non-analytic behavior in the return rate at critical times $t_c$. Such dynamical phase transitions (DPT's) can occur, in particular, for quenches…

Statistical Mechanics · Physics 2018-02-07 N. Sedlmayr , M. Fleischhauer , J. Sirker

Numerical modelling of quantum effects caused by bosonic or fermionic character of secondaries produced in high energy collisions of different sorts is at the moment still far from being established. In what follows we propose novel…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Work statistics characterizes important features of a non-equilibrium thermodynamic process. But the calculation of the work statistics in an arbitrary non-equilibrium process is usually a cumbersome task. In this work, we study the work…

Statistical Mechanics · Physics 2020-03-18 Tian Qiu , Zhaoyu Fei , Rui Pan , H. T. Quan

We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can…

Statistical Mechanics · Physics 2013-07-29 Jean-Sebastien Caux , Fabian H. L. Essler

We investigate the quantum thermodynamical properties of localised relativistic quantum fields, and how they can be used as quantum thermal machines. We study the efficiency and power of energy transfer between the classical gravitational…

Quantum Physics · Physics 2021-12-28 David Edward Bruschi , Benjamin Morris , Ivette Fuentes

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum…

Quantum Gases · Physics 2018-05-23 Aditi Mitra

We evaluate the large-$N$ behavior of the superconformal indices of toric quiver gauge theories, and use it to find the entropy functions of the dual electrically charged rotating $\mathrm{AdS}_5$ black holes. To this end, we employ the…

High Energy Physics - Theory · Physics 2020-05-20 Assaf Lanir , Anton Nedelin , Orr Sela

This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is introduced as a natural extension of…

Statistical Mechanics · Physics 2016-08-02 Luca D'Alessio , Yariv Kafri , Anatoli Polkovnikov , Marcos Rigol

We employ a discrete integral-reflection representation of the double affine Hecke algebra of type $C^\vee C$ at the critical level q=1, to endow the open finite $q$-boson system with integrable boundary interactions at the lattice ends. It…

Mathematical Physics · Physics 2018-04-17 J. F. van Diejen , E. Emsiz , I. N. Zurrián

We examine the thermodynamic characteristics of unified quantum statistics as a novel framework that undergoes a crossover between Bose-Einstein and Fermi-Dirac statistics by varying a generalization parameter $\delta$. We find an…

Statistical Mechanics · Physics 2023-10-26 Habib Esmaili , Hosein Mohammadzadeh , Mehdi Biderang , Morteza Nattagh Najafi

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

We consider a one-dimensional mixture of bosons and spinless fermions with contact interactions. In this system, the elementary excitations at low energies are described by four linearly dispersing modes characterized by two excitation…

Quantum Gases · Physics 2026-05-22 Soham Chandak , Aleksandra Petković , Zoran Ristivojevic

We investigate the thermodynamics of a quench realized by turning on an interaction generating pure decoherence. We characterize the work probability distribution function, also with a fluctuation relation, a lower bound of the work and by…

Quantum Physics · Physics 2021-09-24 Gianluca Francica

In this paper, we establish a general theoretical framework for the description of continuous quantum measurements and the statistics of the results of such measurements. The framework concerns the measurement of an arbitrary quantum system…

Quantum Physics · Physics 2018-04-23 Albert Franquet , Yuli V. Nazarov , Hongduo Wei

We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both quench scenarios, closed analytical…

Quantum Physics · Physics 2024-02-23 L. M. A. Kehrberger , V. J. Bolsinger , P. Schmelcher

The spectral and thermodynamic response of segmented quantum spin chains is analyzed using a combination of numerical techniques and finite-size scaling arguments. Various distributions of segment lengths are considered, including the two…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

We develop a stochastic formulation of the optimally-tuned range-separated hybrid density functional theory which enables significant reduction of the computational effort and scaling of the non-local exchange operator at the price of…

Chemical Physics · Physics 2016-09-28 Daniel Neuhauser , Eran Rabani , Yael Cytter , Roi Baer

We demonstrate that the thermodynamics of one-dimensional Lieb-Liniger bosons can be accurately calculated in analytic fashion using the polylog function in the framework of the thermodynamic Bethe ansatz. The approach does away with the…

Quantum Gases · Physics 2011-03-09 X. -W. Guan , M. T. Batchelor