Quench Spectroscopy for Dissipative and Non-Hermitian Quantum Lattice Models

• URL: http://arxiv.org/abs/2412.00637v1
• Date: Sun, 01 Dec 2024 01:24:11 GMT
• Title: Quench Spectroscopy for Dissipative and Non-Hermitian Quantum Lattice Models
• Authors: Julien Despres,
• Abstract summary: We study the dynamics of the open Bose-Hubbard chain confined in the superfluid phase submitted to a sudden global quench. We compute the quench spectral function associated to each observable to perform the quench spectroscopy of this dissipative quantum lattice model.
• Score: 0.0
• License:
• Abstract: We study the dynamics of the open Bose-Hubbard chain confined in the superfluid phase submitted to a sudden global quench on the dissipations and the repulsive interactions. The latter is investigated by calculating the equations of motion of relevant quadratic correlators permitting to study the equal-time connected one-body and density-density correlations functions. We then compute the quench spectral function associated to each observable to perform the quench spectroscopy of this dissipative quantum lattice model. This permits to unveil the quasiparticle dispersion relation of the Bose-Hubbard chain in the superfluid phase in the presence of loss processes. The applicability of the quench spectroscopy is also generalized to non-Hermitian quantum lattice models by considering the non-Hermitian transverse-field Ising chain in the paramagnetic phase.

Related papers

• Correlated emission lasing in a single quantum dot embedded inside a bimodal photonic crystal cavity [0.0]
  We investigate the phenomenon of correlated emission lasing in a coherently driven single quantum dot coupled to a bimodal photonic crystal cavity. To account for exciton-phonon interactions, we incorporate a non-perturbative approach through a polaron transformed master equation.
  arXiv  Detail & Related papers  (2024-11-18T17:15:54Z)
• Confinement and false vacuum decay on the Potts quantum spin chain [0.0]
  We consider non-equilibrium dynamics after quantum quenches in the mixed-field three-state Potts quantum chain. Compared to the analogous setting for the Ising spin chain, the Potts model has a much richer phenomenology.
  arXiv  Detail & Related papers  (2024-10-04T12:49:49Z)
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain [0.0]
  We present the spin-wave theory of the excitation spectrum and quench dynamics of the non-Hermitian transverse-field Ising model. The complex excitation spectrum is obtained for a generic hypercubic lattice using the linear approximation of the Holstein-Primakoff transformation. We show however that the linear spin-wave approximation breaks down and the bosonic theory is plagued by a divergence at finite times.
  arXiv  Detail & Related papers  (2023-10-02T08:46:40Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain [0.37498611358320727]
  We analytically solve the one-dimensional short-range interacting case with the Jordan-Wigner transformation. In the gapless phase, an incommensurate spiral order is manifested by the vector-chiral correlations. We derive explicit scaling forms of the excitation gap near the quantum critical points.
  arXiv  Detail & Related papers  (2022-06-08T15:28:10Z)
• Quantum critical behavior of entanglement in lattice bosons with cavity-mediated long-range interactions [0.0]
  We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively coupled to a cavity mode.
  arXiv  Detail & Related papers  (2022-04-16T04:10:57Z)
• Fano Resonances in Quantum Transport with Vibrations [50.591267188664666]
  Quantum mechanical scattering continuum states coupled to a scatterer with a discrete spectrum gives rise to Fano resonances. We consider scatterers that possess internal vibrational degrees of freedom in addition to discrete states.
  arXiv  Detail & Related papers  (2021-08-07T12:13:59Z)
• Fano interference in quantum resonances from angle-resolved elastic scattering [62.997667081978825]
  We show that probing the angular dependence of the cross section allows us to unveil asymmetric Fano profiles in a single channel shape resonance. We observe a shift in the peak of the resonance profile in the elastic collisions between metastable helium and deuterium molecules.
  arXiv  Detail & Related papers  (2021-05-12T20:41:25Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.