Wave-packet and entanglement dynamics in a non-Hermitian many-body system

• URL: http://arxiv.org/abs/2212.01001v1
• Date: Fri, 2 Dec 2022 06:47:18 GMT
• Title: Wave-packet and entanglement dynamics in a non-Hermitian many-body system
• Authors: Takahiro Orito, Ken-Ichiro Imura
• Abstract summary: A one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type is studied. Effects of disorder and inter-particle interaction, especially, when they coexist, may be less understood.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static properties of the model have been much studied; the complex spectrum, skin effect and its topological interpretation, etc. Effects of disorder and inter-particle interaction, especially, when they coexist, may be less understood. Here, we will also focus on its dynamical properties and reveal some unique features in the wave-packet and entanglement (entropy) dynamics. For that some latest (original) results based on improved numerics (with this a system of larger system size $L$ becomes accessible) are shown.

Related papers

• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{PT}$ symmetry [49.1574468325115]
  We analyze models governed by the replicator equation of evolutionary game theory and related Lotka-Volterra systems of population dynamics. We study the emergence of exceptional points in two cases: (a) when the governing symmetry properties are tied to global properties of the models, and (b) when these symmetries emerge locally around stationary states.
  arXiv  Detail & Related papers  (2024-11-19T02:15:59Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment. We find sufficient conditions under which dynamical decoupling works for such systems. Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Investigating entropic dynamics of multiqubit cavity QED system [0.0]
  Entropic dynamics of a multiqubit cavity quantum electrodynamics system is simulated and various aspects of entropy are explored. In the modified version of the Tavis-Cummings-Hubbard model, atoms are held in optical cavities through optical tweezers. The interaction of atom with the cavity results in different electronic transitions and the creation and annihilation of corresponding types of photon.
  arXiv  Detail & Related papers  (2024-05-09T11:51:00Z)
• Anomalous transport in the kinetically constrained quantum East-West model [0.0]
  We study a chaotic particle-conserving kinetically constrained model, with a single parameter which allows us to break reflection symmetry. We show that the lack of reflection symmetry affects infinite-temperature dynamics, resulting in an asymmetric dynamical structure factor. We also observe low-entangled eigenstates in the spectrum of the model, a telltale sign of quantum many body scars.
  arXiv  Detail & Related papers  (2024-05-03T13:57:42Z)
• Entanglement dynamics in the many-body Hatano-Nelson model [0.0]
  The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As opposed to an assertion of previous studies, the entanglement dynamics in this non-Hermitian quantum system is very different from the one in its Hermitian counterpart.
  arXiv  Detail & Related papers  (2023-08-06T10:12:41Z)
• Entangling dynamics from effective rotor/spin-wave separation in U(1)-symmetric quantum spin models [0.0]
  Non-equilibrium dynamics of quantum spin models is a most challenging topic, due to the exponentiality of Hilbert space. A particularly important class of evolutions is the one governed by U(1) symmetric Hamiltonians. We show that the dynamics of the OAT model can be closely reproduced by systems with power-lawdecaying interactions.
  arXiv  Detail & Related papers  (2023-02-18T09:37:45Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• 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)
• 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)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.