Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model

• URL: http://arxiv.org/abs/2205.11555v2
• Date: Sun, 16 Apr 2023 14:45:58 GMT
• Title: Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
• Authors: G. De Filippis, A. de Candia, G. Di Bello, C. A. Perroni, L. M. Cangemi, A. Nocera, M. Sassetti, R. Fazio, V. Cataudella
• Abstract summary: We investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model. We show that, in the Ohmic regime, a Beretzinski-Kosterlitz-Thouless quantum phase transition occurs by varying the coupling strength.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By using worldline Monte Carlo technique, matrix product state and a variational approach \`a la Feynman, we investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model, where a two level system is coupled to a linear harmonic oscillator embedded in a viscous fluid. We show that, in the Ohmic regime, a Beretzinski-Kosterlitz-Thouless quantum phase transition occurs by varying the coupling strength between the two level system and the oscillator. This is a non perturbative result, occurring even for extremely low dissipation magnitude. By using state-of-the-art theoretical methods, we unveil the features of the relaxation towards the thermodynamic equilibrium, pointing out the signatures of quantum phase transition both in the time and frequency domains. We prove that, for low and moderate values of the dissipation, the quantum phase transition occurs in the deep strong coupling regime. We propose to realize this model by coupling a flux qubit and a damped LC oscillator.

Related papers

• Transient dynamical phase diagram of the spin-boson model [0.0]
  We investigate the real-time dynamics of the sub-Ohmic spin-boson model across a broad range of coupling strengths. We extract signatures of the zero-temperature quantum phase transition between localized and delocalized states. We identify and quantitatively analyze two competing mechanisms for the crossover between coherent oscillations and incoherent decay.
  arXiv  Detail & Related papers  (2024-02-28T18:52:23Z)
• Kibble-Zurek mechanism and errors of gapped quantum phases [0.25602836891933073]
  Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. We present a novel numerical scheme to estimate the scaling exponent wherein the notion of defects is mapped to errors.
  arXiv  Detail & Related papers  (2024-01-24T17:57:27Z)
• 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)
• Spin-boson model under dephasing: Markovian vs Non-Markovian dynamics [0.0]
  We show that the characteristic frequency of the spin dynamics changes in a simple fashion with dephasing. Our findings are relevant to quantum simulation of the spin-boson model in the regime of strong coupling in trapped ions and circuit QED architectures.
  arXiv  Detail & Related papers  (2023-04-28T22:07:29Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• 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)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Variational Quantum Simulation of Valence-Bond Solids [0.0]
  We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models. We benchmark the method against the J1-J2 Heisenberg model on the square lattice and uncover its phase diagram. Our results show that the convergence of the algorithm is guided by the onset of long-range order, opening a promising route to synthetically realize frustrated quantum magnets.
  arXiv  Detail & Related papers  (2022-01-07T17:05:14Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Dynamical Mean-Field Theory for Markovian Open Quantum Many-Body Systems [0.0]
  We extend the nonequilibrium bosonic Dynamical Mean Field Theory to Markovian open quantum systems. As a first application, we address the steady-state of a driven-dissipative Bose-Hubbard model with two-body losses and incoherent pump.
  arXiv  Detail & Related papers  (2020-08-06T10:35:26Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)

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.