Related papers: Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness

Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness

URL: http://arxiv.org/abs/2110.14517v4
Date: Thu, 24 Feb 2022 17:17:17 GMT
Title: Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness
Authors: Ludmila Viotti and Fernando C. Lombardo and Paula I. Villar
Abstract summary: We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
Score: 68.8204255655161
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We follow a generalized kinematic approach to compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models, which provide a fully quantum description for a two-level system interacting with a single mode of the (cavity) electromagnetic field, in a perfect or dissipative cavity respectively. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls and the incoherent pumping of the two-level system. Our approach allows to compare the geometric phases acquired in these models, leading to an exhaustive characterization of the corrections introduced by the presence of the environment. We also provide geometric interpretations for the observed behaviors. When the resonance condition is satisfied, we show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution. This fact is supported with a geometrical explanation as well.

Related papers

Dynamics of a Generalized Dicke Model for Spin-1 Atoms [0.0]
The Dicke model is a staple of theoretical cavity Quantum Electrodynamics (cavity QED) It demonstrates a rich variety of dynamics such as phase transitions, phase multistability, and chaos. The varied and complex behaviours admitted by the model highlights the need to more rigorously map its dynamics.
arXiv Detail & Related papers (2024-03-04T04:09:35Z)
Geometric Phase of a Transmon in a Dissipative Quantum Circuit [44.99833362998488]
We study the geometric phases acquired by a paradigmatic setup: a transmon coupled to a superconductor resonating cavity. In the dissipative model, the non-unitary effects arise from dephasing, relaxation, and decay of the transmon coupled to its environment. Our approach enables a comparison of the geometric phases obtained in these models, leading to a thorough understanding of the corrections introduced by the presence of the environment.
arXiv Detail & Related papers (2024-01-22T16:41:00Z)
From Lindblad master equations to Langevin dynamics and back [0.0]
A case study of the non-equilibrium dynamics of open quantum systems is presented. The quantum Langevin equations are derived from an identical set of physical criteria. The associated Lindblad equations are derived but only one of them is completely positive.
arXiv Detail & Related papers (2023-05-10T16:59:48Z)
First-order photon condensation in magnetic cavities: A two-leg ladder model [0.0]
We consider a model of free fermions in a ladder geometry coupled to a nonuniform cavity mode via Peierls substitution. Since the cavity mode generates a magnetic field, no-go theorems on spontaneous photon condensation do not apply. We observe a phase transition to a photon condensed phase characterized by finite circulating currents.
arXiv Detail & Related papers (2023-02-20T10:55:14Z)
Geometric phases along quantum trajectories [58.720142291102135]
We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
arXiv Detail & Related papers (2023-01-10T22:05:18Z)
Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z)
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)
Measurement-Induced Entanglement Phase Transition in Random Bilocal Circuits [0.0]
We study the dynamics of averaged purity for a simple $N$-qudit Brownian circuit model with all-to-all random interaction and measurements. We show that there are two phases distinguished by the behavior of the total system entropy in the long time.
arXiv Detail & Related papers (2022-01-30T02:07:46Z)
Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
arXiv Detail & Related papers (2021-07-23T07:30:57Z)

This list is automatically generated from the titles and abstracts of the papers in this site.