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In this paper a duality between the d=2 Wen-plaquette model in a transverse field and the d=1 Ising model in a transverse field is used to learn the nature of the quantum phase transition (QPT) between a spin-polarized phase and a…

Quantum Physics · Physics 2007-09-17 Jing Yu , Su-Peng Kou , Xiao-Gang Wen

The notion of a dynamical quantum phase transition (DQPT) was recently introduced in [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the non-analytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this…

Statistical Mechanics · Physics 2015-09-04 Markus Schmitt , Stefan Kehrein

We study the equilibrium and dynamical properties of a ferromagnetic spinor atomic Bose-Einstein condensate. In the vicinity of the critical point for a continuous quantum phase transition, universal behaviors are observed both in the…

Quantum Gases · Physics 2018-07-25 Ming Xue , Shuai Yin , Li You

We explore the spin-boson model in a special case, i.e., with zero local field. In contrast to previous studies, we find no possibility for quantum phase transition (QPT) happening between the localized and delocalized phases, and the…

Quantum Physics · Physics 2015-06-04 Tao Liu , Mang Feng , Lei Li , Wanli Yang , Kelin Wang

We study the quenching dynamics of a many-body system in one dimension described by a Hamiltonian that has spatial periodicity. Specifically, we consider a spin-1/2 chain with equal xx and yy couplings and subject to a periodically varying…

Strongly Correlated Electrons · Physics 2015-06-03 Manisha Thakurathi , Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We apply the Wigner function formalism from quantum optics via two approaches, Wootters' discrete Wigner function and the generalized Wigner function, to detect quantum phase transitions in critical spin-$\tfrac{1}{2}$ systems. We develop a…

Quantum Physics · Physics 2019-09-09 Zakaria Mzaouali , Steve Campbell , Morad El Baz

We propose a method to study the transition to chaos in isolated quantum systems of interacting particles. It is based on the concept of delocalization of eigenstates in the energy shell, controlled by the Gaussian form of the strength…

Quantum Physics · Physics 2012-05-15 L. F. Santos , F. Borgonovi , F. M. Izrailev

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

High Energy Physics - Theory · Physics 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

We investigate the quantum phase transitions for the $XXZ$ spin-1/2 chains via the quantum correlations between the nearest and next to nearest neighbor spins characterized by negativity, information deficit, trace distance discord and…

Quantum Physics · Physics 2018-05-08 Biao-Liang Ye , Bo Li , Xianqing Li-Jost , Shao-Ming Fei

Motivated by the advance of dynamical quantum phase transitions (DQPTs), we analyze the zeros of the complex-time survival (Loschmidt) amplitude in finite quantum systems and develop a general framework for their approximation based on the…

Quantum Physics · Physics 2026-05-11 Jakub Novotný , Jan Střeleček , Pavel Stránský , Pavel Cejnar

In this work, we establish a general theory of phase transitions and quantum entanglement in the equilibrium state at arbitrary temperatures. First, we derived a set of universal functional relations between the matrix elements of two-body…

Quantum Physics · Physics 2018-05-07 Bo-Bo Wei

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

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

In this manuscript we investigate the one-dimensional anisotropic XY model with ferromagnetic and antiferromagnetic interactions, which gives more interesting phase diagrams and dynamic critical behaviors. By using quantum…

Statistical Mechanics · Physics 2021-07-28 Zhe Wang , Pan-Pan Fang , Yu-Liang Xu , Chun-Yang Wang , Rong-Tao Zhang , Han Zhang , Xiang-Mu Kong

We introduce and study dynamical probes of band structure topology in the post-quench time-evolution from mixed initial states of quantum many-body systems. Our construction generalizes the notion of dynamical quantum phase transitions…

Quantum Gases · Physics 2017-11-29 M. Heyl , J. C. Budich

Quantum phase transitions (QPTs) between uniaxial or biaxial spin nematic (SN) phases are investigated in biquadratic spin-1 and spin-2 XY infinite chains with the rhombic- and uniaxial-type single-ion anisotropies. Systematic discussions…

Strongly Correlated Electrons · Physics 2024-10-16 Yan-Wei Dai , Sheng-Hao Li , Sam Young Cho , Huan-Qiang Zhou

In the thermodynamic limit two distinct states of matter cannot be analytic continuations of each other. Classical phase transitions are characterized by non-analyticities of the free energy. For quantum phase transitions (QPTs) the ground…

Strongly Correlated Electrons · Physics 2007-05-23 Angela Kopp , Xun Jia , Sudip Chakravarty

We study quantum quenches in two-dimensional lattice gauge theories with fermions coupled to dynamical $\mathbb{Z}_2$ gauge fields. Through the identification of an extensive set of conserved quantities, we propose a generic mechanism of…

Strongly Correlated Electrons · Physics 2018-06-26 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

Statistical Mechanics · Physics 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

We consider a linear chain made of spins of one half in contact with a dissipative environment for which periodic delta-kicks are applied to the qubits of the linear chain in two different configurations: kicks applied to a single qubit and…

Quantum Physics · Physics 2017-03-02 Pablo Carlos López , Andrés García , Gilberto Sánchez Gonz'alez
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