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Recent advancements in quantum computing technology have enabled the study of fermionic systems at finite temperature via quantum simulations. This presents a novel approach to investigating the chiral phase transition in such systems.…

Quantum Physics · Physics 2025-10-30 Jia-Qi Gong , Ji-Chong Yang

Geometric phases play a fundamental role in understanding quantum topology, yet extending the Uhlmann phase to non-Hermitian systems poses significant challenges due to parameter-dependent inner product structures. In this work, we develop…

Quantum Physics · Physics 2026-03-03 Xu-Yang Hou , Xin Wang , Hao Guo

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near the quantum phase transitions (QPTs). It is now well understood for the one-dimensional quantum matter. Higher-dimensional systems, however, remain a…

Strongly Correlated Electrons · Physics 2022-10-26 Markus Schmitt , Marek M. Rams , Jacek Dziarmaga , Markus Heyl , Wojciech H. Zurek

The phase transitions in the transverse field Ising model in a competing spatially modulated (periodic and oscillatory) longitudinal field are studied numerically. There is a multiphase point in absence of the transverse field where the…

Statistical Mechanics · Physics 2016-08-31 Parongama Sen

We establish a unified framework for dynamical quantum phase transitions (DQPTs) in non-Hermitian systems that encompasses both biorthogonal and self-norm non-biorthogonal formulations for pure and mixed states under quantum quench…

Quantum Physics · Physics 2025-10-27 Yongxu Fu , Gao Xianlong

This paper proposes to broaden the canonical formulation of quantum mechanics. Ordinarily, one imposes the condition $H^\dagger=H$ on the Hamiltonian, where $\dagger$ represents the mathematical operation of complex conjugation and matrix…

Quantum Physics · Physics 2009-10-31 Carl Bender , Stefan Boettcher , Peter Meisinger

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 consider the effect of a random longitudinal field on the Ising model in a transverse magnetic field. For spatial dimension $d > 2$, there is at low strength of randomness and transverse field, a phase with true long range order which is…

Disordered Systems and Neural Networks · Physics 2016-08-31 T. Senthil

The quantum geometric tensor has established itself as a general framework for the analysis and detection of equilibrium phase transitions in isolated quantum systems. We propose a novel generalization of the quantum geometric tensor, which…

Quantum Physics · Physics 2025-02-27 Pavel Orlov , Georgy V. Shlyapnikov , Denis V. Kurlov

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if PT-symmetry is respected, and in that case an equivalent Hermitian description exists via the so-called Dyson map.…

High Energy Physics - Theory · Physics 2024-11-28 Daniel Arean , David Garcia-Fariña , Karl Landsteiner

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 report a kind of quantum phase transition which takes place in isolated quantum systems with non-thermal equilibrium states and an extra symmetry that commutes with the Hamiltonian for any values of the system parameters. A critical…

Quantum Physics · Physics 2022-02-08 Ricardo Puebla , Armando Relaño

Phase transitions, non-Hermiticity and nonreciprocity play central roles in fundamental physics. However, the triple interplay of these three fields is of lack in the quantum domain. Here, we show nonreciprocal parity-time-symmetric phase…

Quantum Physics · Physics 2024-04-23 Miao Cai , Jiang-Shan Tang , Ming-Yuan Chen , Keyu Xia

Quantum coherence will undoubtedly play a fundamental role in understanding the dynamics of quantum many-body systems, thereby to reveal its genuine contribution is of great importance. In this paper, we specialize our discussions on the…

Quantum Physics · Physics 2024-10-29 Bao-Ming Xu

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

Despite its non-Hermitian nature, the transverse optical beam shift exhibits both real eigenvalues and non-orthogonal eigenstates. To explore this unexpected similarity to typical PT (parity-time)-symmetric systems, we first categorize the…

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal…

Statistical Mechanics · Physics 2022-10-25 Jamir Marino , Martin Eckstein , Matthew S. Foster , Ana Maria Rey

We investigate the interplay of classical degeneracy and quantum dynamics in a range of periodic frustrated transverse field Ising systems at zero temperature. We find that such dynamics can lead to unusual ordered phases and phase…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , S. L. Sondhi , P. Chandra

Quantum phase transition occurs at a quantum critical value of a control parameter such as the magnetic field in the Ising model in a transverse magnetic field (ITF). Recently, it is shown that ramping across the quantum critical point…

Strongly Correlated Electrons · Physics 2018-10-23 H. Cheraghi , S. Mahdavifar