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We study the applicability of the Liouvillian exceptional points (LEPs) approach to nanoscale open quantum systems. A generic model of the driven two-level system in a thermal environment is analyzed within the nonequilibrium Green's…

量子物理 · 物理学 2024-02-26 Nikhil Seshadri , Anqi Li , Michael Galperin

We consider an open quantum system with dissipation, described by a Lindblad Master equation (LME). For dissipation locally acting and sufficiently strong, a separation of the relaxation time scales occurs, which, in terms of the…

量子物理 · 物理学 2021-05-13 Vladislav Popkov , Carlo Presilla

The dynamics of open quantum systems described by the Lindblad master equation follows according to non-Hermitian operators. As a result, such systems can host non-Hermitian degeneracies called Liouvillian exceptional points (EPs). In this…

量子物理 · 物理学 2025-10-10 Sayooj P , Awadhesh Narayan

We investigate speeding up of relaxation of Markovian open quantum systems with the Liouvillian exceptional point (LEP), where the slowest decay mode degenerate with a faster decay mode. The degeneracy significantly increases the gap of the…

量子物理 · 物理学 2025-01-14 Yan-Li Zhou , Xiao-Die Yu , Chun-Wang Wu , Xie-Qian Li , Jie Zhang , Weibin Li , Ping-Xing Chen

We demonstrate that Liouvillian exceptional points (LEPs), previously explored only in continuous Lindbladian dynamics, also emerge in discrete brickwork completely positive trace-preserving (CPTP) circuits. By analytically solving a…

量子物理 · 物理学 2026-05-06 Vladislav Popkov , Mario Salerno

Non-Hermitian (NH) systems can display exotic topological phenomena without Hermitian counterparts, enabled by exceptional points (EPs). So far, investigations of NH topology have been restricted to EPs of the NH Hamiltonian, which governs…

Usually, when investigating exceptional points (EPs) of an open Markovian bosonic system, one deals with spectral degeneracies of a non-Hermitian Hamiltonian (NHH), which can correctly describe the system dynamics only in the semiclassical…

量子物理 · 物理学 2020-09-15 Ievgen I. Arkhipov , Adam Miranowicz , Fabrizio Minganti , Franco Nori

Exceptional points (EPs), indicative of parity-time (PT) symmetry breaking, play a central role in non-Hermitian physics, yet most studies begin from deliberately engineered effective Hamiltonians whose parameters are tuned to exhibit…

量子物理 · 物理学 2026-03-12 Eric R. Bittner , Bhavay Tyagi , Kevin E. Bassler

Exceptional points in non-Hermitian quantum systems give rise to novel genuine quantum phenomena. Recent explorations of exceptional-point-induced quantum phase transitions have extended from discrete-variable to continuous-variable-encoded…

量子物理 · 物理学 2026-02-03 Pei-Rong Han , Tian-Le Yang , Wen Ning , Hao-Long Zhang , Huifang Kang , Huiye Qiu , Zhen-Biao Yang

Hamiltonian exceptional points (HEPs) are spectral degeneracies of non-Hermitian Hamiltonians describing classical and semiclassical open systems with losses and/or gain. However, this definition overlooks the occurrence of quantum jumps in…

Open quantum systems interacting with an environment exhibit dynamics described by the combination of dissipation and coherent Hamiltonian evolution. Taken together, these effects are captured by a Liouvillian superoperator. The…

量子物理 · 物理学 2022-04-08 Weijian Chen , Maryam Abbasi , Byung Ha , Serra Erdamar , Yogesh N. Joglekar , Kater W. Murch

Open quantum systems can be approximately described by non-Hermitian Hamiltonians (NHHs) and Liouvillian superoperators. The two approaches differ by quantum jump terms corresponding to a measurement of the system by its environment. We…

量子物理 · 物理学 2026-05-06 Aysel Shiralieva , Grigory A. Starkov , Björn Trauzettel

Diagonalization of the effective Hamiltonian describing an open quantum system is the usual method of tracking its exceptional points. Although, such a method is successful for tracking EPs in Markovian systems, it may be problematic in…

量子物理 · 物理学 2022-11-22 G. Mouloudakis , P. Lambropoulos

One of the most remarkable features that distinguish open systems from closed ones is the presence of exceptional points (EPs), where two or more eigenvectors of a non-Hermitian operator coalesce, accompanying the convergence of the…

量子物理 · 物理学 2026-01-27 Hao-Long Zhang , Pei-Rong Han , Fan Wu , Wen Ning , Zhen-Biao Yang , Shi-Biao Zheng

The exceptional point has presented considerably interesting and counterintuitive phenomena associated with nonreciprocity, precision measurement, and topological dynamics. The Liouvillian exceptional point (LEP), involving the interplay of…

We analyse two quantum systems with hidden parity-time (PT) symmetry: one is an optical device, whereas another is a superconducting microwave-frequency device. To investigate their symmetry, we introduce an equilibrium frame, in which loss…

Quantum heat engines are expected to outperform the classical counterparts due to quantum coherences involved. Here we experimentally execute a single-ion quantum heat engine and demonstrate, for the first time, the dynamics and the…

Recent years have seen a surge of interest in exceptional points in open quantum systems. The natural approach in this area has been the use of Markovian master equations. While the resulting Liouvillian EPs have been seen in a variety of…

量子物理 · 物理学 2025-12-16 Shishir Khandelwal , Gianmichele Blasi

Dissipatively stabilized cat qubits are promising for fault-tolerant quantum information processing, yet their non-Hermitian (NH) spectral topology remains largely unexplored. We uncover rich Liouvillian exceptional structures in a…

量子物理 · 物理学 2026-04-23 Tian-Le Yang , Pei-Rong Han , Zhen-Biao Yang , Shi-Biao Zheng

Exceptional points are the branch-point singularities of non-Hermitian Hamiltonians, and have rich consequences in open-system dynamics. While the exceptional points and their critical phenomena are widely studied in the non-Hermitian…

量子物理 · 物理学 2024-08-22 Konghao Sun , Wei Yi
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