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We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By performing the infinite density matrix renormalization group with…

Strongly Correlated Electrons · Physics 2021-02-24 Myung-Hoon Chung

Quantum phase transitions are central to our understanding of why matter at very low temperatures can exhibit starkly different properties upon small changes of microscopic parameters. Accurately locating those transitions is challenging…

Statistical Mechanics · Physics 2021-09-23 Asmi Haldar , Krishnanand Mallayya , Markus Heyl , Frank Pollmann , Marcos Rigol , Arnab Das

We develop a time-dependent mean field approach, within the time-dependent variational principle, to describe the Superfluid-Insulator quantum phase transition. We construct the zero temperature phase diagram both of the Bose-Hubbard model…

Superconductivity · Physics 2009-10-31 Luigi Amico , Vittorio Penna

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

Statistical Mechanics · Physics 2018-03-30 Vincenzo Alba , Pasquale Calabrese

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

The interplay and competition of topology and electron-electron interactions have fascinated researchers since the discovery of topological insulators. The Su-Schrieffer-Heeger-Hubbard (SSSHH) model is a prototypical model which includes…

Strongly Correlated Electrons · Physics 2025-02-13 David Mikhail , Stephan Rachel

Extensive body of work has shown that for the model of a non-interacting electron in a random potential there is a quantum critical point for dimensions greater than two---a metal-insulator transition. This model also plays an important…

Disordered Systems and Neural Networks · Physics 2010-08-17 Sudip Chakravarty

We simulate quench dynamics of the Su-Schrieffer-Heeger (SSH) chain on the IBM quantum computers, calculating the R\'enyi entanglement entropy, the twist order parameter and the Berry phase. The latter two quantities can be deduced from a…

Quantum Physics · Physics 2025-01-14 Huai-Chun Chang , Hsiu-Chuan Hsu , Yu-Cheng Lin

When a closed quantum system is driven periodically with period $T$, it approaches a periodic state synchronized with the drive in which any local observable measured stroboscopically approaches a steady value. For integrable systems, the…

Statistical Mechanics · Physics 2014-08-06 Achilleas Lazarides , Arnab Das , Roderich Moessner

Aiming at a better understanding of anomalous and topological effects in gauge theories out-of-equilibrium, we study the real-time dynamics of a prototype model for CP-violation, the massive Schwinger model with a $\theta$-term. We identify…

Quantum Physics · Physics 2019-02-13 T. V. Zache , N. Mueller , J. T. Schneider , F. Jendrzejewski , J. Berges , P. Hauke

We study the collisionless dynamics of two classes of nonintegrable pairing models. One is a BCS model with separable energy-dependent interactions, the other - a 2D topological superconductor with spin-orbit coupling and a band-splitting…

Quantum Gases · Physics 2019-03-06 Jasen A. Scaramazza , Pietro Smacchia , Emil A. Yuzbashyan

By the method of intense terahertz laser spectroscopy, we provide strong evidence that if an integer quantum Hall (IQH) system has asymmetric confining potential and the external quantizing magnetic field has a nonzero in-plane component,…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Sergey A. Emelyanov

Dynamical quantum phase transitions (DQPTs) extend the concept of phase transitions and thus universality to the non-equilibrium regime. In this letter, we investigate DQPTs in a string of ions simulating interacting transverse-field Ising…

Quantum Physics · Physics 2017-08-30 P. Jurcevic , H. Shen , P. Hauke , C. Maier , T. Brydges , C. Hempel , B. P. Lanyon , M. Heyl , R. Blatt , C. F. Roos

We study the time evolution of spin squeezing in the one-dimensional spin-1/2 XY model subject to a sudden quantum quench of a transverse magnetic field. The initial state is selected from the ground state phase diagram of the model,…

Quantum Physics · Physics 2022-02-15 Hadi Cheraghi , Saeed Mahdavifar , Henrik Johannesson

A sudden change of the Hamiltonian parameter drives a quantum system out of equilibrium. For a finite-size system, expectations of observables start fluctuating in time without converging to a precise limit. A new equilibrium state emerges…

Quantum Physics · Physics 2013-03-21 Lorenzo Campos Venuti , Paolo Zanardi

We study equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

Strongly Correlated Electrons · Physics 2011-09-23 D. L. Kovrizhin , J. T. Chalker

We study the simplified Hubbard (SH) model in the presence of a transverse field in the infinite dimension limit. The relevant one-particle Green's functions of the model are obtained by means a perturbative treatment of the hopping and of…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco

We study the time evolution of the antiferromagnetic order parameter after interaction quenches in the Hubbard model. Using the nonequilibrium dynamical mean field formalism, we show that the system, after a quench from intermediate to…

Strongly Correlated Electrons · Physics 2013-01-29 Philipp Werner , Naoto Tsuji , Martin Eckstein

Integrable models provide an exact description for a wide variety of physical phenomena. For example nested integrable systems contain different species of interacting particles with a rich phenomenology in their collective behavior, which…

Statistical Mechanics · Physics 2017-08-22 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

In this paper, based on the formulation of an O(3) non-linear sigma model, we study the two-dimensional Pi-flux Hubbard model at half-filling. A quantum non-magnetic insulator is explored near the metal-insulator transition that may be a…

Strongly Correlated Electrons · Physics 2015-04-28 Gao-Yong Sun , Su-Peng Kou