Liouvillian topology and non-reciprocal dynamics in open Floquet chains
- URL: http://arxiv.org/abs/2511.16742v1
- Date: Thu, 20 Nov 2025 19:00:05 GMT
- Title: Liouvillian topology and non-reciprocal dynamics in open Floquet chains
- Authors: Florian Koch, Yu-Min Hu, Jan Carl Budich,
- Abstract summary: We introduce and study a microscopic lattice model of a driven open quantum system described by a Markovian quantum master equation.<n>By encompassing quantum jump processes in the topological analysis, we uncover a distinct emphjump-induced topological phase.<n>We find that the NH skin effect, i.e.the accumulation of a macroscopic number of eigenstates at one end of the system, is already visible in the transient dynamics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Open quantum systems far from thermal equilibrium can exhibit remarkable physical phenomena including topological properties without a direct equilibrium counterpart. Along these lines, in periodically driven dissipative systems within the effective non-Hermitian (NH) Hamiltonian approximation spectral winding numbers have been linked to intriguing nonreciprocal transport properties. Here, going beyond an NH Hamiltonian description, we introduce and study a microscopic lattice model of a driven open quantum system described by a Markovian quantum master equation, which exhibits the mentioned spectral winding within a NH approximation. By encompassing quantum jump processes in the topological analysis, we uncover a distinct \emph{jump-induced} topological phase, which qualitatively corresponds to the richer non-reciprocal transport properties of the fully quantum model. In addition, we find that the NH skin effect, i.e.~the accumulation of a macroscopic number of eigenstates at one end of the system, is already visible in the transient dynamics even for systems with periodic boundary conditions. Our results exemplify the subtle correspondence between NH topological properties and physical manifestations of Liouvillian topological properties in open quantum systems, thus providing a theoretical framework towards understanding unidirectional transport in quantum dissipative Floquet dynamics.
Related papers
- Dynamical Phase Transitions in Open Quantum Walks [0.0]
We show a novel class of critical behavior in open quantum systems, where decoherence-induced classicalization enables access to non-Hermitian spectral phenomena.<n>Our results offer promising implications for quantum technologies, including quantum simulation, error mitigation, and the engineering of controllable non-equilibrium quantum states.
arXiv Detail & Related papers (2025-08-16T07:17:36Z) - Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
arXiv Detail & Related papers (2025-05-13T05:32:34Z) - Quantum tunneling and anti-tunneling across entropic barriers [44.99833362998488]
We study the dynamics of a quantum particle in a constricted two-dimensional channel.<n>We analyze how the onset of quantum corrections impacts the (semi-intuitive) high-temperature behaviour, as temperature is lowered.
arXiv Detail & Related papers (2025-05-06T19:55:55Z) - Topology of Monitored Quantum Dynamics [5.388986285256996]
We classify Kraus operators and their effective non-Hermitian dynamical generators.<n>Our classification elucidates the role of topology in measurement-induced phase transitions.<n>We establish the bulk-boundary correspondence in monitored quantum dynamics.
arXiv Detail & Related papers (2024-12-09T01:27:26Z) - Coarse-grained dynamics in quantum many-body systems using the maximum entropy principle [0.034998703934432676]
We construct an inverse map that assigns a microscopic state to a coarse-grained state based on the maximum entropy principle.<n>We examine the resulting dynamics in the coarse-grained system using the assignment map.<n>We demonstrate that these dynamics exhibit atypical quantum behavior, such as nonlinearity and non-Markovianity.
arXiv Detail & Related papers (2024-07-16T17:11:14Z) - Emerging topological characterization in non-equilibrium states of quenched Kitaev chains [0.0]
Topological characteristics of quantum systems are determined by the closing of a gap.
The dynamical quantum phase transition (DQPT) during quantum real-time evolution has emerged as a nonequilibrium analog to the quantum phase transition (QPT)
arXiv Detail & Related papers (2023-11-14T10:26:15Z) - Non-equilibrium quantum probing through linear response [41.94295877935867]
We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment.
We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
arXiv Detail & Related papers (2023-06-14T13:31:23Z) - Neural-network quantum states for ultra-cold Fermi gases [49.725105678823915]
This work introduces a novel Pfaffian-Jastrow neural-network quantum state that includes backflow transformation based on message-passing architecture.
We observe the emergence of strong pairing correlations through the opposite-spin pair distribution functions.
Our findings suggest that neural-network quantum states provide a promising strategy for studying ultra-cold Fermi gases.
arXiv Detail & Related papers (2023-05-15T17:46:09Z) - Exceptional Non-Hermitian Phases in Disordered Quantum Wires [0.0]
We demonstrate the occurrence of nodal non-Hermitian (NH) phases featuring exceptional degeneracies in chiral-symmetric disordered quantum wires.
We find that at least two nodal points in the clean Hermitian system are required for exceptional points to be effectively stabilized upon adding disorder.
arXiv Detail & Related papers (2021-02-24T19:00:04Z) - Spin Entanglement and Magnetic Competition via Long-range Interactions
in Spinor Quantum Optical Lattices [62.997667081978825]
We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter.
We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios.
These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
arXiv Detail & Related papers (2020-11-16T08:03:44Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.