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Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

Disordered Systems and Neural Networks · Physics 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

Let $(X_i)_{i\geq 1}$ be a stationary mean-zero Gaussian process with covariances $\rho(k)=\PE(X_{1}X_{k+1})$ satisfying: $\rho(0)=1$ and $\rho(k)=k^{-D} L(k)$ where $D$ is in $(0,1)$ and $L$ is slowly varying at infinity. Consider the…

Statistics Theory · Mathematics 2010-12-08 Céline Lévy-Leduc , Hélène Boistard , Eric Moulines , Murad S. Taqqu , Valderio A. Reisen

We study the work fluctuations of two types of finite quantum spin chains under the application of a time-dependent magnetic field in the context of the fluctuation relation and Jarzynski equality. The two types of quantum chains correspond…

Statistical Mechanics · Physics 2008-05-30 Sven Dorosz , Thierry Platini , Dragi Karevski

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

Quantum Physics · Physics 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

Statistical Mechanics · Physics 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

Condensed Matter · Physics 2009-10-22 A. Crisanti , H. Rieger

We study the slow quenching dynamics (characterized by an inverse rate, $\tau^{-1}$) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across the quantum critical point (QCP) and analyze the…

Statistical Mechanics · Physics 2016-06-08 Shraddha Sharma , Uma Divakaran , Anatoli Polkovnikov , Amit Dutta

We consider the effects of weak measurements on the quantum critical ground state of the one-dimensional (a) tricritical and (b) critical quantum Ising model, by measuring in (a) the local energy and in (b) the local spin operator in a…

Statistical Mechanics · Physics 2024-09-04 Rushikesh A. Patil , Andreas W. W. Ludwig

We investigate the asymptotic state of a periodically driven many-body quantum system which is weakly coupled to an environment. The combined action of the modulations and the environment steers the system towards a state being…

Quantum Gases · Physics 2019-03-04 Michael Hartmann , Dario Poletti , Mikhail Ivanchenko , Sergey Denisov , Peter Hänggi

When the quantum critical transverse-field Ising chain is perturbed by a longitudinal field, a quantum integrable model emerges in the scaling limit with massive excitations described by the exceptional $E_{8}$ Lie algebra. Using the…

Strongly Correlated Electrons · Physics 2021-06-14 Xiao Wang , Haiyuan Zou , Kristóf Hódsági , Márton Kormos , Gábor Takács , Jianda Wu

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

Quantum Physics · Physics 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

We develop a new tool, the time inhomogeneous Poisson equation in the whole space and with a terminal condition at infinity, to study the asymptotic behavior of the non-autonomous multi-scale stochastic system with irregular coefficients,…

Probability · Mathematics 2024-12-13 Ling Wang , Pengcheng Xia , Longjie Xie , Li Yang

By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state is intimately connected to properties of…

Statistical Mechanics · Physics 2015-08-31 Angelo Russomanno , Rosario Fazio , Giuseppe E. Santoro

The nonequilibrium Ising model on a restricted scale-free network has been studied with one- and two-spin flip competing dynamics employing Monte Carlo simulations. The dynamics present in the system can be defined by the probability $q$ in…

Statistical Mechanics · Physics 2023-06-09 R. A. Dumer , M. Godoy

This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that a DQPT can be induced in two…

Other Condensed Matter · Physics 2026-05-25 Yuanyuan Cheng , Yuxia Zhang , Tianhui Qiu , Peipei Xin , Bao-Ming Xu

We present an in-depth study of the non-equilibrium statistics of the irreversible work produced during sudden quenches in proximity to the structural linear-zigzag transition of ion Coulomb crystals in 1+1 dimensions. By employing both an…

Quantum Physics · Physics 2017-06-23 F. Cosco , M. Borrelli , P. Silvi , S. Maniscalco , G. De Chiara

A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state presents a rather non-trivial task. It was recently shown…

Statistical Mechanics · Physics 2016-05-12 Tatsuhiko Shirai , Juzar Thingna , Takashi Mori , Sergey Denisov , Peter Hänggi , Seiji Miyashita

We consider a quantum system driven out of equilibrium via a small Hamiltonian perturbation. Building on the paradigmatic framework of linear response theory (LRT), we derive an expression for the full generating function of the dissipated…

Quantum Physics · Physics 2024-08-28 Giacomo Guarnieri , Jens Eisert , Harry J. D. Miller

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

Quantum Physics · Physics 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

Standard treatments of quantum work using projective energy measurements erase initial coherence and alter the dynamics, thereby failing to capture the thermodynamic effects of coherent superpositions of energy eigenstates in an ensemble of…

Quantum Physics · Physics 2026-02-03 Pranay Nayak , Sreenath K. Manikandan , Tan Van Vu , Supriya Krishnamurthy