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Chiral edge states in quantum Hall effect are the paradigmatic example of the quasi-particle with chirality. In even space-time dimensions, the Nielsen-Ninomiya theorem strictly forbids the chiral states in physical isolation. The…

Quantum Physics · Physics 2023-12-06 Chan Bin Bark , Youngseok Kim , Moon Jip Park

Chiral materials have garnered significant attention in the field of condensed matter physics. Nevertheless, the magnetic moment induced by the chiral spatial motion of electrons in helical materials, such as elemental Te and Se, remains…

Mesoscale and Nanoscale Physics · Physics 2023-10-05 Bumseop Kim , Dongbin Shin , Seon Namgung , Noejung Park , Kyoung-Whan Kim , Jeongwoo Kim

We present a real-time lattice approach to study the non-equilibrium dynamics of vector and axial charges in $SU(N) \times U(1)$ gauge theories. Based on a classical description of the non-Abelian and Abelian gauge fields, we include…

High Energy Physics - Lattice · Physics 2017-03-03 Mark Mace , Niklas Mueller , Sören Schlichting , Sayantan Sharma

We propose and analyze a new method for quantum metrology based on stable non-equilibrium states of quantum matter. Our approach utilizes quantum correlations stabilized by strong interactions and periodic driving. As an example, we present…

Quantum Physics · Physics 2018-01-03 Soonwon Choi , Norman Y. Yao , Mikhail D. Lukin

Periodically driven quantum systems can host non-equilibrium phenomena without static analogs, including in their entanglement dynamics. Here, we discover $temporal$ $entanglement$ $transitions$ (TET) in a Floquet spin chain, which…

Quantum Physics · Physics 2026-03-13 Karun Gadge , Abhinav Prem , Rishabh Jha

Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. Dissipative phase transitions in…

We study the invariant measure of the transport correlator for a chiral Hamiltonian and analyze its properties. The Jacobian of the invariant measure is a function of random phases. Then we distinguish the invariant measure before and after…

Disordered Systems and Neural Networks · Physics 2024-04-08 Klaus Ziegler

Measurement-induced entanglement phase transitions (MIET) highlight how local measurements drive quantum systems between area-law and volume-law entangled states. This review surveys MIET in free fermion models, focusing on how unitary…

Quantum Physics · Physics 2025-07-10 Han-Ze Li , Jian-Xin Zhong , Xue-Jia Yu

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it can be simply formulated on a one-dimensional lattice. The…

High Energy Physics - Lattice · Physics 2024-02-05 Tomoya Hayata , Katsumasa Nakayama , Arata Yamamoto

We study fermions that are gauge-coupled to a cavity mode via Raman-assisted hopping in a one dimensional lattice. For an infinite lattice, we find a superradiant phase with infinitesimal pumping threshold which induces a directed particle…

Quantum Gases · Physics 2016-10-26 Wei Zheng , Nigel R. Cooper

A quantum many-body system can undergo transitions in the presence of continuous measurement. In this work, we find that a generic class of critical dynamical scaling behavior can emerge at these measurement-induced transitions. Remarkably,…

Quantum Gases · Physics 2023-08-15 Zuo Wang , Shi-Liang Zhu , Li-Jun Lang , Liang He

We classify chiral symmetric periodically driven quantum systems on a one-dimensional lattice. The driving process is local, can be continuous or discrete in time, and we assume a gap condition for the corresponding Floquet operator. The…

Mathematical Physics · Physics 2022-09-30 C. Cedzich , T. Geib , A. H. Werner , R. F. Werner

We explore, both analytically and numerically, the quantum dynamics of a many-body free-fermion system subjected to local density measurements. We begin by extending the mapping to the nonlinear sigma-model (NLSM) field theory for the case…

Disordered Systems and Neural Networks · Physics 2026-04-22 Igor Poboiko , Alexander D. Mirlin

We address that a single-band tight-binding Hamiltonian defined on a self-similar corral substrate can give rise to a set of non-diffusive localized modes that follow the same hierarchical distribution. As the lattice, the spatial extent of…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Sayan Bhattacharya , Rhiddha Acharjee , Atanu Nandy

We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive, in view of realizing and probing non-Abelian chiral spin liquids using quantum simulators. We derive the effective Hamiltonian…

Quantum Gases · Physics 2023-06-29 Bo-Ye Sun , Nathan Goldman , Monika Aidelsburger , Marin Bukov

Defining a Chiral Fermion Theory on a lattice has presented an ongoing challenge both in Condensed Matter physics and in Lattice Gauge Theory. In this paper, we demonstrate that a chiral free-fermion theory can live on an ultra-local…

High Energy Physics - Lattice · Physics 2018-06-08 Michael DeMarco , Xiao-Gang Wen

Inducing topological transitions by a time-periodic perturbation offers a route to controlling the properties of materials. Here we show that the adiabatic preparation of a non-trivial state involves a selective population of edge-states,…

Quantum Physics · Physics 2016-12-28 Lorenzo Privitera , Giuseppe E. Santoro

The topology of one-dimensional chiral systems is captured by the winding number of the Hamiltonian eigenstates. Here we show that this invariant can be read-out by measuring the mean chiral displacement of a single-particle wavefunction…

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…