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Related papers: Topological invariants in dissipative extensions o…

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Non-Hermitian systems and the Lindblad form master equation have always been regarded as reliable tools in dissipative modeling. Intriguingly, existing literature often obtains an equivalent non-Hermitian Hamiltonian by neglecting the…

Quantum Physics · Physics 2024-03-27 Xiangyu Niu , Junjie Wang

We investigate the Su-Schrieffer-Heeger model in presence of an injection and removal of particles, introduced via a master equation in Lindblad form. It is shown that the dynamics of the density matrix follows the predictions of…

Quantum Physics · Physics 2019-01-30 Marcel Klett , Holger Cartarius , Dennis Dast , Jörg Main , Günter Wunner

We investigate the dynamics of the Su-Schrieffer-Heeger model with boundary dissipations described by Lindblad master equations and unravel distinct dynamical features in the topologically different phases of the underlying Hamiltonian. By…

Quantum Physics · Physics 2025-12-29 Zhen-Yu Zheng , Xueliang Wang , Shu Chen

We study the effect of periodic but commensurate hopping modulation on a Su-Schrieffer-Heeger (SSH) chain with an additional onsite staggered imaginary potential. Such dissipative, non-Hermitian (NH) extension amply modifies the features of…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Surajit Mandal , Satyaki Kar

We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which ensure the density matrix retains its Gaussian form…

Quantum Physics · Physics 2026-01-27 Tian-Shu Deng , Fan Yang

We investigate quantum transport and thermoelectrical properties of a finite-size Su-Schrieffer-Heeger model, a paradigmatic model for a one-dimensional topological insulator, which displays topologically protected edge states. By coupling…

Statistical Mechanics · Physics 2018-07-25 Sina Böhling , Georg Engelhardt , Gloria Platero , Gernot Schaller

A particle-hole symmetry protected 2D non-Hermitian Su-Schrieffer-Heeger (SSH) model is investigated. This version differs from the usual Hermitian version by the inclusion of gain and/or loss terms which are represented by complex on-site…

Quantum Physics · Physics 2025-04-08 Udai Prakash Tyagi , Partha Goswami

As energy dissipation and gain are ubiquitous in the real world, such phenomena demand the generalization of Hermitian methods such as the analysis of topological properties for non-Hermitian systems. However, as non-Hermitian systems…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Cameron Gibson , Evelyn Tang

In specific open systems with collective dissipation the Liouvillian can be mapped to a non-Hermitian Hamiltonian. We here consider such a system where the Liouvillian is mapped to an XXZ Richardson-Gaudin integrable model and detail its…

Quantum Physics · Physics 2022-04-05 Pieter W. Claeys , Austen Lamacraft

We consider an open quantum system which contains unstable states. The time evolution of the system can be described by an effective non-hermitian Hamiltonian H_{eff}, in accord with the Wigner--Weisskopf approximation, and an additional…

Quantum Physics · Physics 2011-08-04 Reinhold A. Bertlmann , Walter Grimus , Beatrix C. Hiesmayr

We study the disconnected entanglement entropy, $S^D$, of the Su-Schrieffer-Heeger model. $S^D$ is a combination of both connected and disconnected bipartite entanglement entropies that removes all area and volume law contributions, and is…

Strongly Correlated Electrons · Physics 2021-01-18 Tommaso Micallo , Vittorio Vitale , Marcello Dalmonte , Pierre Fromholz

We consider a generalization of the quintessence type scalar field cosmological models, by adding a multiplicative dissipative term in the scalar field Lagrangian, which is represented in an exponential form. The generalized dissipative…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Tiberiu Harko

A systematic procedure for deriving the master equation of a dissipative system is reported in the framework of stochastic description. For the Caldeira-Leggett model of the harmonic-oscillator bath, a detailed and elementary derivation of…

Quantum Physics · Physics 2015-05-30 Haifeng Li , Jiushu Shao , Shikuan Wang

Recent experimental advance in creating dissipative couplings provides a new route for engineering exotic lattice systems and exploring topological dissipation. Using the spatial lattice of atomic spinwaves in a vacuum vapor cell, where…

Quantum Physics · Physics 2023-04-26 Dongdong Hao , Lin Wang , Xingda Lu , Xuzhen Cao , Suotang Jia , Ying Hu , Yanhong Xiao

Topological phases feature robust edge states that are protected against the effects of defects and disorder. The robustness of these states presents opportunities to design technologies that are tolerant to fabrication errors and resilient…

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

Quantum Physics · Physics 2014-02-24 Victor V. Albert , Liang Jiang

We use the Lindblad equation approach to investigate topological phases hosting more than one localized state at each side of a disordered SSH chain with properly tuned long range hoppings. Inducing a non equilibrium steady state across the…

Strongly Correlated Electrons · Physics 2024-01-31 Emmanuele G. Cinnirella , Andrea Nava , Gabriele Campagnano , Domenico Giuliano

A semiclassical approximation for an evolving density operator, driven by a "closed" hamiltonian operator and "open" markovian Lindblad operators, is obtained. The theory is based on the chord function, i.e. the Fourier transform of the…

Quantum Physics · Physics 2020-08-18 A. M. Ozorio de Almeida , P. de M. Rios , O. Brodier

We consider the non-Hermitian, parity-time (PT) symmetric extensions of the one-dimensional Su-Schrieffer-Heeger (SSH) model in the topological non-trivial configuration. We study the properties of the topologically protected edge states,…

We investigate a non-Hermitian quantum battery based on the Su-Schrieffer-Heeger (SSH) lattice, charged through a parity-time (PT)-symmetric protocol that alternates gain and loss between the two sublattices. The interplay between lattice…

Quantum Physics · Physics 2026-04-16 A-Long Zhou , Ya-Wen Xiao , Nuo Xu , Li-Li Gao , Long-Jie Li , Hang Zhou , Zi-Min Li , Chuan-Cun Shu
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