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Quantum phase transitions arise in many-body systems due to competing interactions that promote rivaling ground states. Recent years have seen the identification of continuous quantum phase transitions, or quantum critical points, in a host…

Strongly Correlated Electrons · Physics 2011-02-25 Qimiao Si , Frank Steglich

Quantum phase transitions occur when the ground state of a quantum system undergoes a qualitative change when an external control parameter reaches a critical value. Here, we demonstrate a technique for studying quantum systems undergoing a…

Quantum Physics · Physics 2008-03-14 Jingfu Zhang , Xinhua Peng , Nageswaran Rajendran , Dieter Suter

Quantum theory provides an extensive framework for the description of the equilibrium properties of quantum matter. Yet experiments in quantum simulators have now opened up a route towards generating quantum states beyond this equilibrium…

Statistical Mechanics · Physics 2018-04-24 Markus Heyl

Deconfined quantum phase transition (DQPT) provides an extraordinary possibility of the quantum phase transition beyond the Ginzburg-Landau paradigm, which is interwoven with numerous exotic phenomena of the strongly correlated quantum…

Strongly Correlated Electrons · Physics 2024-04-18 Dong-Xu Liu , Zijian Xiong , Yining Xu , Xue-Feng Zhang

We explore the possibility of dynamical quantum phase transitions (DQPTs) occurring during the temporal evolution of a quenched transverse field Ising chain coupled to a particle loss type of bath (local in Jordan-Wigner fermion space)…

Statistical Mechanics · Physics 2018-08-13 Souvik Bandyopadhyay , Sudarshana Laha , Utso Bhattacharya , Amit Dutta

Dynamical phase transitions extend the notion of criticality to non-stationary settings and are characterized by sudden changes in the macroscopic properties of time-evolving quantum systems. Investigations of dynamical phase transitions…

Strongly Correlated Electrons · Physics 2021-11-04 Sebastiano Peotta , Fredrik Brange , Aydin Deger , Teemu Ojanen , Christian Flindt

Phase transitions are fundamental in nature. A small parameter change near a critical point leads to a qualitative change in system properties. Across a regular phase transition, the system remains in thermal equilibrium and, therefore,…

Strongly Correlated Electrons · Physics 2024-12-24 Jingwen Li , Michael Turaev , Masakazu Matsubara , Kristin Kliemt , Cornelius Krellner , Shovon Pal , Manfred Fiebig , Johann Kroha

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties.…

Statistical Mechanics · Physics 2009-11-11 Michael M. Wolf , Gerardo Ortiz , Frank Verstraete , J. Ignacio Cirac

We demonstrate that the quantum phase transition (QPT) of the Rabi model and critical dynamics near the QPT can be probed in the setup of a single trapped ion. We first show that there exists equilibrium and non-equilibrium universal…

Quantum Physics · Physics 2017-02-22 Ricardo Puebla , Myung-Joong Hwang , Jorge Casanova , Martin B. Plenio

We study quantum phase transitions (QPTs) associated with splitting nodal Fermi points, motivated by topological phase transitions between Dirac and Weyl semi-metals. A Dirac point in Dirac semi-metals may be split into two Weyl points by…

Strongly Correlated Electrons · Physics 2018-09-12 SangEun Han , Gil Young Cho , Eun-Gook Moon

Over the past decade, dynamical quantum phase transitions (DQPTs) have emerged as a paradigm shift in understanding nonequilibrium quantum many-body systems. However, the challenge lies in identifying order parameters that effectively…

Statistical Mechanics · Physics 2024-04-17 Arkadiusz Kosior , Markus Heyl

We consider sudden quenches across quantum phase transitions in the $S=1$ XXZ model starting from the Haldane phase. We demonstrate that dynamical phase transitions may occur during these quenches that are identified by nonanalyticities in…

Statistical Mechanics · Physics 2019-07-02 I. Hagymási , C. Hubig , Ö. Legeza , U. Schollwöck

Quantum Phase Transition (QPT) is a phase transition between different quantum states by adjusting some control parameters. Based on the Principle of Hamilton Dynamics (PHD) and the Principle of Lagrangian Dynamics (PLD), a general QPT…

Analysis of PDEs · Mathematics 2016-12-09 Tian Ma , Da-peng Li , Ruikuan Liu , Jiayan Yang

The series of articles [Ann. Phys. 345, 73 (2014) and 356, 57 (2015)] devoted to excited-state quantum phase transitions (ESQPTs) in systems with $f=2$ degrees of freedom is continued by studying the interacting boson model of nuclear…

Quantum Physics · Physics 2019-06-26 Michal Macek , Pavel Stránský , Amiram Leviatan , Pavel Cejnar

We analyze the dynamics of the return amplitude following a sudden quench in the three-state quantum Potts chain. For quenches crossing the quantum critical point from the paramagnetic to the ferromagnetic phase, the corresponding rate…

Strongly Correlated Electrons · Physics 2017-02-27 C. Karrasch , D. Schuricht

Dynamical quantum phase transitions in non-Hermitian systems pose fundamental challenges due to the intrinsic biorthogonality of their eigenstates. In this work, we extend a biorthogonal framework to investigate dynamical quantum phase…

Quantum Physics · Physics 2026-05-26 Haoran Gu , Yubo Zhao , Siyuan Cheng , Yuee Xie , Xiaosen Yang , Yuanping Chen

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

During recent years the interest to dynamics of quantum systems has grown considerably. Quantum many body systems out of equilibrium often manifest behavior, different from the one predicted by standard statistical mechanics and…

Statistical Mechanics · Physics 2017-02-01 A. A. Zvyagin

This paper introduces complex dynamics methods to study dynamical quantum phase transitions in the one- and two-dimensional quantum 3-state Potts model. The quench involves switching off an infinite transverse field. The time-dependent…

Statistical Mechanics · Physics 2024-03-14 Somendra M. Bhattacharjee

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola