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One of the most striking features of non-Hermitian quasiperiodic systems with arbitrarily small asymmetry in the hopping amplitudes and open boundaries is the accumulation of all the bulk eigenstates at one of the edges of the system,…

Disordered Systems and Neural Networks · Physics 2024-12-09 Aditi Chakrabarty , Sanjoy Datta

Recent experiments with quantum simulators using ultracold atoms and superconducting qubits have demonstrated the potential of controlled dissipation as a versatile tool for realizing correlated many-body states. However, determining the…

Using a recently proposed measure for divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a driven spin-$S$ system weakly coupled to a bosonic bath. The complete tomographic knowledge about the…

Quantum Physics · Physics 2012-08-09 Xiang Hao , Xuefen Xu , Xiaoqun Wang

One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often be…

Quantum Gases · Physics 2019-11-01 Fei Song , Shunyu Yao , Zhong Wang

We study the late-time dynamics of two particles confined in one spatial dimension and subject to two-body losses. The dynamics is exactly described by a non-Hermitian Hamiltonian that can be analytically studied both in the continuum and…

Quantum Gases · Physics 2024-11-01 Alice Marché , Hironobu Yoshida , Alberto Nardin , Hosho Katsura , Leonardo Mazza

We investigate the quantum dynamics of a multilevel bistable system coupled to a bosonic heat bath beyond the perturbative regime. We consider different spectral densities of the bath, in the transition from sub-Ohmic to super-Ohmic…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Luca Magazzù , Angelo Carollo , Bernardo Spagnolo , Davide Valenti

We study the dynamics of a driven non-Hermitian superconducting qubit which is perturbed by quantum jumps between energy levels, a purely quantum effect with no classical correspondence. The quantum jumps mix the qubit states leading to…

Quantum Physics · Physics 2021-10-05 Weijian Chen , Maryam Abbasi , Yogesh N. Joglekar , Kater W. Murch

We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

Non-Hermiticity and dephasing, collaborating in an unusual wave packet dynamics, realizes unconventional entanglement evolution in a disordered, interacting and asymmetric (non-reciprocal) quantum medium. Taking the Hatano-Nelson model as a…

Disordered Systems and Neural Networks · Physics 2022-01-14 Takahiro Orito , Ken-Ichiro Imura

Non-Hermitian systems driven along slow parametric loops undergo non-adiabatic transitions whose outcome depends sensitively on the driving speed, yet no explicit formula has been available for the critical timescale $T_{\mathrm{cr}}$ at…

Quantum Physics · Physics 2026-04-03 Giorgos Pappas , Diego Bautista Avilés , Luis E. F. Foa Torres , Vassos Achilleos

We provide a new perspective on non-Hermitian evolution in quantum mechanics by emphasizing the same method as in the Hermitian quantum evolution. We first give a precise description of the non unitary evolution, and collecting the basic…

Quantum Physics · Physics 2017-07-21 Mustapha Maamache

Using numerically exact diagonalization, we study the correlated Haldane-Hubbard model in the presence of dissipation. Such dissipation can be modeled at short times by the dynamics governed by an effective non-Hermitian Hamiltonian, of…

Strongly Correlated Electrons · Physics 2023-08-29 Can Wang , Tian-Cheng Yi , Jian Li , Rubem Mondaini

The dynamical evolution of an open quantum system can be governed by the Lindblad equation of the density matrix. In this paper, we propose to characterize the density matrix topology by the topological invariant of its modular Hamiltonian.…

Mesoscale and Nanoscale Physics · Physics 2024-06-27 Liang Mao , Fan Yang , Hui Zhai

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and…

Statistical Mechanics · Physics 2022-10-05 Gabriele Perfetto , Federico Carollo , Igor Lesanovsky

We study the quantum dynamics of many-body systems, in the presence of dissipation due to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in time, driven…

Statistical Mechanics · Physics 2020-05-27 Davide Rossini , Ettore Vicari

Non-Hermitian (NH) systems provide a fertile platform for quantum technologies, owing in part to their distinct dynamical phases. These systems can be characterized by the preservation or spontaneous breaking of parity-time reversal…

One among the possible realizations of non-Hermitian systems is based on open quantum systems by omitting quantum jumping terms in the master equation. This is a good approximation at short times where the effects of quantum jumps can be…

Quantum Physics · Physics 2023-09-21 Xiangyu Niu , Jianning Li , S. L. Wu , X. X. Yi

We discuss a class of quantum speed limits (QSLs) based on unified quantum ($\alpha,\mu$)-entropy for nonunitary physical processes. The bounds depend on both the Schatten speed and the smallest eigenvalue of the evolved state, and the…

Quantum Physics · Physics 2022-07-06 Diego Paiva Pires

We perform a detailed study of Gibbs-non-Gibbs transitions for the Curie-Weiss model subject to independent spin-flip dynamics ("infinite-temperature" dynamics). We show that, in this setup, the program outlined in van Enter, Fern\'andez,…

Probability · Mathematics 2015-06-04 Roberto Fernández , Frank den Hollander , Julián Martínez

We investigate the universal dissipationless dynamics of Gaussian continuous-variable systems in the presence of a band-gapped bosonic environment. Our results show that environmental band gaps can induce localized modes, which give rise to…

Quantum Physics · Physics 2018-12-05 Han-Jie Zhu , Guo-Feng Zhang , Lin Zhuang , Wu-Ming Liu