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Symmetry-protected trivial (SPt) phases of matter are the product-state analogue of symmetry-protected topological (SPT) phases. This means, SPt phases can be adiabatically connected to a product state by some path that preserves the…

Strongly Correlated Electrons · Physics 2016-06-08 Augustine Kshetrimayum , Hong-Hao Tu , Roman Orus

We consider a generalization of the non-Hermitian ${\mathcal PT}$ symmetric Jaynes-Cummings {Hamiltonian, recently introduced for studying optical phenomena with time-dependent physical parameters, that includes environment-induced decay}.…

We construct a quantum Wajnflasz-Pick model that is a generalized quantum Ising model, and investigate a nature of quantum phase transitions of the model with infinite-range interactions. Quantum phase transition phenomena have drawn…

Statistical Mechanics · Physics 2019-04-25 Yuya Seki , Shu Tanaka , Shiro Kawabata

We introduce equations of motion for a parity-violating fermionic mean-field theory (PV-FMFT): a numerically efficient fermionic mean-field theory based on parity-violating fermionic Gaussian states (PV-FGS). This work provides explicit…

Strongly Correlated Electrons · Physics 2026-01-21 Michael Kaicher , Joseph Vovrosh , Alexandre Dauphin , Simon B. Jäger

We present a new perspective on thermal and quantum phase transitions (QPT) in $(2+1)$-dimensional quantum chromodynamics based on symmetries, topology, and quantum dynamical structure of the baryon ground state in the large $N_c$ limit for…

High Energy Physics - Theory · Physics 2019-04-25 Laith H. Haddad

Photonic structures have an inherent advantage to realize PT-phase transition through modulating the refractive index or gain-loss. However, quantum PT properties of these photonic systems have not been comprehensively studied yet. Here, in…

We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map…

Strongly Correlated Electrons · Physics 2017-10-17 Ruben Verresen , Roderich Moessner , Frank Pollmann

A $\mathcal{PT}$-symmetric, non-Hermitian Hamiltonian in the $\mathcal{PT}$-unbroken regime can lead to unitary dynamics under the appropriate choice of the Hilbert space. The Hilbert space is determined by a Hamiltonian-compatible inner…

Quantum Physics · Physics 2025-03-19 Himanshu Badhani , Subhashish Banerjee , C. M. Chandrashekar

After decades of progress and effort, obtaining a phase diagram for a strongly-correlated topological system still remains a challenge. Although in principle one could turn to Wilson loops and long-range entanglement, evaluating these…

Strongly Correlated Electrons · Physics 2017-12-14 Yi Zhang , Roger G. Melko , Eun-Ah Kim

The triple phase transitions or simultaneous transitions of three different phases, namely topological, parity-time (PT) symmetry breaking, and metal-insulator transitions, are observed in an extension of PT symmetric non-Hermitian…

Disordered Systems and Neural Networks · Physics 2023-08-02 Shaina Gandhi , Jayendra N. Bandyopadhyay

Quantum simulation using synthetic quantum systems offers unique opportunities to explore open questions in many-body physics and a path for the generation of useful entangled states. Nevertheless, so far many quantum simulators have been…

Quantum Physics · Physics 2024-07-04 Chengyi Luo , Haoqing Zhang , Anjun Chu , Chitose Maruko , Ana Maria Rey , James K. Thompson

We report a novel mechanism of boundary-sensitive PT symmetry breaking in one-dimensional Floquet systems. By designing a time-periodic driving protocol, we realize a Floquet Hamiltonian that is Hermitian under periodic boundary conditions…

Quantum Physics · Physics 2026-03-25 Bo Li , He-Ran Wang , Fei Song

Exceptional points (EPs) in non-Hermitian systems give rise to enhanced sensitivity and chiral state transfer, which are important for quantum technologies. Although parameter trajectories encircling EPs can control symmetric and chiral…

Quantum Physics · Physics 2026-03-26 Qi-Cheng Wu , Yan-Hui Zhou , Biao-liang Ye , Tong Liu , Yi-Hao Kang , Qi-Ping Su , Chui-Ping Yang

We study the time evolution of a PT-symmetric, non-Hermitian quantum system for which the associated phase space is compact. We focus on the simplest non-trivial example of such a Hamiltonian, which is linear in the angular momentum…

Quantum Physics · Physics 2021-08-18 Iván F. Valtierra , Mario Gaeta , Adrian Ortega , Thomas Gorin

Non-Hermiticity significantly enriches the properties of topological models, leading to exotic features such as the non-Hermitian skin effects and non-Bloch bulk-boundary correspondence that have no counterparts in Hermitian settings. Its…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Quan Lin , Tianyu Li , Lei Xiao , Kunkun Wang , Wei Yi , Peng Xue

We study transport of noninteracting fermions through a periodically driven quantum point contact (QPC) connecting two tight-binding chains. Initially, each chain is prepared in its own equilibrium state, generally with a bias in chemical…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Oleksandr Gamayun , Artur Slobodeniuk , Jean-Sébastien Caux , Oleg Lychkovskiy

While gain-loss-coupled photonic platforms have achieved significant success in studying classical parity-time (PT) symmetry, they encounter challenges in demonstrating pure quantum effects due to incompatible operator transformations and…

In 1998, Carl Bender challenged the perceived wisdom of quantum mechanics that the Hamiltonian operator describing any quantum mechanical system has to be Hermitian. He showed that Hamiltonians that are invariant under combined parity-time…

We propose a series of simple $2d$ lattice interacting fermion models that we demonstrate at low energy describe bosonic symmetry protected topological (SPT) states and quantum phase transitions between them. This is because due to…

Strongly Correlated Electrons · Physics 2016-03-09 Yi-Zhuang You , Zhen Bi , Dan Mao , Cenke Xu

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