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We consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general…

Statistical Mechanics · Physics 2018-07-04 Stefan Groha , Fabian H. L. Essler , Pasquale Calabrese

Demonstrating the ability of existing quantum platforms to perform certain computational tasks intractable to classical computers represents a cornerstone in quantum computing. Despite the growing number of such proposed "quantum supreme"…

We study three aspects of work statistics in the context of the fluctuation theorem for the quantum spin chains up to $1024$ sites by numerical methods based on matrix-product states (MPS). First, we use our numerical method to evaluate the…

Statistical Mechanics · Physics 2024-04-30 Feng-Li Lin , Ching-Yu Huang

Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce different non-equilibrium regimes…

Statistical Mechanics · Physics 2023-09-13 Emanuele Tirrito , Alessandro Santini , Rosario Fazio , Mario Collura

We review quantum phase transitions of spin systems in transverse magnetic fields taking the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an overview of quantum phase transitions, we introduce a number…

Statistical Mechanics · Physics 2015-06-10 Amit Dutta , Gabriel Aeppli , Bikas K. Chakrabarti , Uma Divakaran , Thomas F. Rosenbaum , Diptiman Sen

We put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. Within this theory entanglement is carried by ballistically propagating non-Hermitian quasiparticles…

Statistical Mechanics · Physics 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

We explore a previously unknown connection between two important problems in physics, i.e., quantum macroscopicity and the quantum phase transition. We devise a general and computable measure of quantum macroscopicity that can be applied to…

Quantum Physics · Physics 2016-11-30 Chae-Yeun Park , Minsu Kang , Chang-Woo Lee , Jeongho Bang , Seung-Woo Lee , Hyunseok Jeong

The fundamental question of how to best simulate quantum systems using conventional computational resources lies at the forefront of condensed matter and quantum computation. It impacts both our understanding of quantum materials and our…

Strongly Correlated Electrons · Physics 2021-09-29 Juan Carrasquilla , Di Luo , Felipe Pérez , Ashley Milsted , Bryan K. Clark , Maksims Volkovs , Leandro Aolita

By analyzing the probability distributions of the Loschmidt echo (LE) and quantum work, we examine the nonequilibrium effects of a quantum many-body system, which exhibits an excited-state quantum phase transition (ESQPT). We find that…

Quantum Physics · Physics 2017-10-04 Qian Wang , H. T. Quan

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

Recent theoretical studies have predicted the existence of caustics in many-body quantum dynamics, where they manifest as extended regions of enhanced probability density that obey temporal and spatial scaling relations. Focusing on the…

Quantum Physics · Physics 2024-10-10 Monalisa Singh Roy , Jesse Mumford , D. H. J. O'Dell , Emanuele G. Dalla Torre

Determining the role of initial conditions in the late time evolution is a key issue for the theory of nonequilibrium dynamics of isolated quantum systems. Here we extend the theory of quantum quenches to the case in which before the quench…

Statistical Mechanics · Physics 2023-09-13 Gesualdo Delfino , Marianna Sorba

We present a theory of quantum work statistics in generic chaotic, disordered Fermi liquid systems within a driven random matrix formalism. By extending P. W. Anderson's orthogonality determinant formula to compute quantum work…

Mesoscale and Nanoscale Physics · Physics 2023-03-16 András Grabarits , Márton Kormos , Izabella Lovas , Gergely Zaránd

Entanglement in many-body systems may display interesting signatures of quantum phase transitions and similar properties are starting to be encountered in the analysis of work fluctuations. Here, we consider the fermionic…

Quantum Physics · Physics 2024-03-26 Krissia Zawadzki , Guilherme A. Canella , Vivian V. França , Irene D'Amico

The work distribution function for a non-relativistic, non-interacting quantum many-body system interacting with classical external sources is investigated. Exact expressions for the characteristic function corresponding to the work…

Quantum Physics · Physics 2020-04-22 Fardin Kheirandish

We develop a quasi-chemical theory for the study of packing thermodynamics in dense liquids. The situation of hard-core interactions is addressed by considering the binding of solvent molecules to a precisely defined `cavity' in order to…

Chemical Physics · Physics 2007-05-23 Lawrence R. Pratt , Randall A. LaViolette , Maria A. Gomez , Mary E. Gentile

The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

Quantum Physics · Physics 2026-01-27 Rudraksh Sharma

We study the post-quench unitary dynamics of a quantum sunburst spin model, composed of a transverse-field quantum Ising ring which is suddenly coupled to a set of independent external qubits along the longitudinal direction, in a way to…

Statistical Mechanics · Physics 2025-06-17 Alessio Franchi , Davide Rossini , Ettore Vicari

We introduce the functional field integral approach to study the statistics of quantum work under nonequilibrium conditions and derive the general formalism for a bilinear Hamiltonian with arbitrary time dependence. The method is then…

Strongly Correlated Electrons · Physics 2019-07-24 Jian-Jun Dong , Yi-feng Yang

The theory of quantum quenches in near-critical one-dimensional systems formulated in [J. Phys. A 47 (2014) 402001] yields analytic predictions for the dynamics, unveils a qualitative difference between non-interacting and interacting…

Statistical Mechanics · Physics 2017-02-07 Gesualdo Delfino , Jacopo Viti
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