Fate of dissipative hierarchy of timescales in the presence of unitary dynamics

• URL: http://arxiv.org/abs/2304.09017v2
• Date: Fri, 9 Feb 2024 15:39:45 GMT
• Title: Fate of dissipative hierarchy of timescales in the presence of unitary dynamics
• Authors: Nick D. Hartmann, Jimin L. Li, David J. Luitz
• Abstract summary: generic behavior of purely dissipative open quantum many-body systems with local dissipation processes can be investigated using random matrix theory. Here, we analyze how this spectrum evolves when unitary dynamics is present, both for the case of strongly and weakly dissipative dynamics. For the physically most relevant case of (dissipative) two-body interactions, we find that the correction in the first order of the perturbation vanishes. For weak dissipation, the spectrum flows into clusters with well-separated eigenmodes, which we identify to be the local symmetries of the Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The generic behavior of purely dissipative open quantum many-body systems with local dissipation processes can be investigated using random matrix theory, revealing a hierarchy of decay timescales of observables organized by their complexity as shown in [Wang et al., Phys. Rev. Lett. 124, 100604 (2020)]. This hierarchy is reflected in distinct eigenvalue clusters of the Lindbladian. Here, we analyze how this spectrum evolves when unitary dynamics is present, both for the case of strongly and weakly dissipative dynamics. In the strongly dissipative case, the unitary dynamics can be treated perturbatively and it turns out that the locality of the Hamiltonian determines how susceptible the spectrum is to such a perturbation. For the physically most relevant case of (dissipative) two-body interactions, we find that the correction in the first order of the perturbation vanishes, leading to the relative robustness of the spectral features. For weak dissipation, the spectrum flows into clusters with well-separated eigenmodes, which we identify to be the local symmetries of the Hamiltonian.

Related papers

• Reminiscence of classical chaos in driven transmons [117.851325578242]
  We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
  arXiv  Detail & Related papers  (2022-07-19T16:04:46Z)
• Signatures of a quantum stabilized fluctuating phase and critical dynamics in a kinetically-constrained open many-body system with two absorbing states [0.0]
  We introduce and investigate an open many-body quantum system in which kinetically coherent and dissipative processes compete. Our work shows how the interplay between coherent and dissipative processes as well as constraints may lead to a highly intricate non-equilibrium evolution.
  arXiv  Detail & Related papers  (2022-04-22T07:51:38Z)
• Resonant energy scales and local observables in the many-body localised phase [0.0]
  We formulate a theory for resonances in the many-body localised phase of disordered quantum spin chains in terms of local observables. Key result is to show that there are universal correlations between the matrix elements of local observables and the many-body level spectrum.
  arXiv  Detail & Related papers  (2022-02-21T19:00:07Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Coarse-grained Entanglement and Operator Growth in Anomalous Dynamics [0.0]
  We show how the presence of a nonzero index affects entanglement generation and the spreading of local operators. We find that a nonzero index leads to asymmetric butterfly velocities with different diffusive broadening of the light cones. We propose that these results can be understood via a generalization of the recently-introduced entanglement membrane theory.
  arXiv  Detail & Related papers  (2021-09-15T16:27:51Z)
• Localisation in quasiperiodic chains: a theory based on convergence of local propagators [68.8204255655161]
  We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators. Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges. Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
  arXiv  Detail & Related papers  (2021-02-18T16:19:52Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Isospectral twirling and quantum chaos [0.0]
  We show that the most important measures of quantum chaos like frame potentials, scrambling, Loschmidt echo, and out-of-time correlators (OTOCs) can be described by the unified framework of the isospectral twirling. We show that, by exploiting random matrix theory, these measures of quantum chaos clearly distinguish the finite time profiles of probes to quantum chaos.
  arXiv  Detail & Related papers  (2020-11-11T19:01:08Z)
• Particle mixing and the emergence of classicality: A spontaneous-collapse-model view [0.0]
  We show that spontaneous collapse can induce the decay dynamics in both quantum state and master equations. We show that the decay property of a flavor-oscillating system is intimately connected to the time (a)symmetry of the noise field underlying the collapse mechanism.
  arXiv  Detail & Related papers  (2020-08-25T16:07:59Z)
• 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.