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The scalar field theory and the scalar electrodynamics quantized in the flat gap are considered. The dynamical effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied.…

High Energy Physics - Theory · Physics 2015-07-27 A. N. Sissakian , O. Yu. Shevchenko , V. N. Samoilov

Non-Hermitian physics traditionally relies on active gain--loss modulation or non-reciprocal couplings, which often introduce significant complexity, compromise stability, and offer very limited scalability in conservative systems. Here we…

Other Condensed Matter · Physics 2026-03-19 Haoran Nie , Chaoran Jiang , Xiangying Shen , Lei Xu

We analyze the open dynamics of quantum systems conditioned on no jumps being detected. We first obtain general results relating the no-jump probability and the waiting-time distributions to the conditional evolution of specific system…

Statistical Mechanics · Physics 2023-11-10 Michele Coppola , Dragi Karevski , Gabriel T. Landi

We consider a dissipative tight-binding chain. The dissipation manifests as tunneling into/out of the chain from/to a memoryless environment. The evolution of the system is described by the Lindblad equation. Already infinitesimally small…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 M. V. Medvedyeva , M. T. Čubrović , S. Kehrein

Whereas point-gap topological phases are responsible for exceptional phenomena intrinsic to non-Hermitian systems, their realization in quantum materials is still elusive. Here we propose a simple and universal platform of point-gap…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 Daichi Nakamura , Kazuya Inaka , Nobuyuki Okuma , Masatoshi Sato

We study the one-dimensional Fermi gas subject to dissipative reactions. The dynamics is governed by the quantum master equation, where the Hamiltonian describes coherent motion of the particles, while dissipation accounts for irreversible…

Statistical Mechanics · Physics 2026-04-06 Hannah Lehr , Igor Lesanovsky , Gabriele Perfetto

Open systems with gain and loss, described by non-trace-preserving, non-Hermitian Hamiltonians, have been a subject of intense research recently. The effect of exceptional-point degeneracies on the dynamics of classical systems has been…

Quantum Physics · Physics 2019-11-01 M. Naghiloo , M. Abbasi , Yogesh N. Joglekar , K. W. Murch

In a recent paper [Phys. Rev. Lett. 129, 120601] we have shown that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. In this…

Statistical Mechanics · Physics 2023-01-24 Federico Balducci , Andrea Gambassi , Alessio Lerose , Antonello Scardicchio , Carlo Vanoni

We study dissipative phase transitions in a system of two coupled fully-connected quantum Ising models interacting with an environment. The dynamics is governed by a Lindblad master equation combining coherent unitary evolution and…

Statistical Mechanics · Physics 2026-05-01 Bidyut Dey , Andrea Nava , Domenico Giuliano

For open quantum systems,a short-time evolution is usually well described by the effective non-Hermitian Hamiltonians,while long-time dynamics requires the Lindblad master equation,in which the Liouvillian superoperators characterize the…

Quantum Physics · Physics 2024-04-19 Jilian Zhong , Xiaoyue Li

We study semi-infinite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction…

Probability · Mathematics 2024-12-20 Mikhail Menshikov , Serguei Popov , Andrew Wade

We investigate the short time quantum critical dynamics in the imaginary time relaxation processes of finite size systems. Universal scaling behaviors exist in the imaginary time evolution and in particular, the system undergoes a critical…

Strongly Correlated Electrons · Physics 2017-09-20 Yu-Rong Shu , Shuai Yin , Dao-Xin Yao

We study the bound states in the continuum (BIC) in a system of two identical two-level giant atoms coupled to a one-dimensional waveguide. By deriving general dark-state conditions, we clarify how coupling configurations and atomic…

Quantum Physics · Physics 2026-05-12 F. J. Lü , W. Z. Jia

We propose a mechanism to explain the fluctuations of the ground state energy in quantum dots in the Coulomb blockade regime. Employing the random matrix theory we show that shape deformations may change the adjacent peak spacing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Raul O. Vallejos , Caio H. Lewenkopf , Eduardo R. Mucciolo

We consider holographic theories at finite temperature in which a continuous global symmetry in the bulk is spontaneously broken. We study the linear response of operators in a regime which is dual to time dependent, long wavelength…

High Energy Physics - Theory · Physics 2020-01-08 Aristomenis Donos , Daniel Martin , Christiana Pantelidou , Vaios Ziogas

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent,…

Statistical Mechanics · Physics 2015-10-30 Marko Znidaric

We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order, which is dominated by the Lindblad master equation. In the absence of the aperiodic order, the Liouvillian superoperator…

Quantum Gases · Physics 2022-02-21 Peng He , Yu-Guo Liu , Jian-Te Wang , Shi-Liang Zhu

We study the dissipative dynamics of a class of interacting ``gamma-matrix'' spin models coupled to a Markovian environment. For spins on an arbitrary graph, we construct a Lindbladian that maps to a non-Hermitian model of free Majorana…

Quantum Physics · Physics 2025-10-28 Lucas Sá , Benjamin Béri

A position-dependent stochastic diffusion model of gating in ion channels is developed by considering the spatial variation of the diffusion coefficient between the closed and open states. It is assumed that a sensor which regulates the…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Samuel Robert Vaccaro