Feedback-induced instabilities and dynamics in the Jaynes-Cummings model
- URL: http://arxiv.org/abs/2006.11535v1
- Date: Sat, 20 Jun 2020 10:07:01 GMT
- Title: Feedback-induced instabilities and dynamics in the Jaynes-Cummings model
- Authors: Nikolett N\'emet, Scott Parkins, Victor Canela, Alexander Carmele
- Abstract summary: We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback.
The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the coherence and steady-state properties of the
Jaynes-Cummings model subjected to time-delayed coherent feedback in the regime
of multiple excitations. The introduced feedback qualitatively modifies the
dynamical response and steady-state quantum properties of the system by
enforcing a non-Markovian evolution. This leads to recovered collapses and
revivals as well as non-equilibrium steady states when the two-level system
(TLS) is directly driven by a laser. The latter are characterized by narrowed
spectral linewidth and diverging correlation functions that are robust against
the time delay and feedback phase choices. These effects are also demonstrated
in experimentally accessible quantities such as the power spectrum and the
second-order correlation function $g^{(2)}(\tau)$ in standard and widely
available photon-detection setups.
Related papers
- Tachyonic and parametric instabilities in an extended bosonic Josephson Junction [0.0]
We study the dynamics and decay of quantum phase coherence for Bose-Einstein condensates in tunnel-coupled quantum wires.
We investigate the phenomenon of self-trapping in the relative population imbalance of the two condensates.
We discuss realistic parameters for experimental realizations of the $pi$-mode in ultracold atom setups.
arXiv Detail & Related papers (2024-10-14T14:22:49Z) - Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach [0.0]
We show how to generate spin-squeezed states using shortcuts to adiabaticity (STA) and the recently developed enhanced version thereof (eSTA)
We show that the eSTA approach allows for a particularly robust realization of strongly spin-squeezed states in this system.
Our method could also be employed for the generation of metrologically-useful non-Gaussian states.
arXiv Detail & Related papers (2024-04-30T16:24:43Z) - Non-equilibrium quantum probing through linear response [41.94295877935867]
We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment.
We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
arXiv Detail & Related papers (2023-06-14T13:31:23Z) - 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) - Dynamics with autoregressive neural quantum states: application to
critical quench dynamics [41.94295877935867]
We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion.
We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
arXiv Detail & Related papers (2022-09-07T15:50:00Z) - Indication of critical scaling in time during the relaxation of an open
quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields.
Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z) - Loschmidt amplitude spectrum in dynamical quantum phase transitions [0.0]
We study how the system behaves in the vicinity of dynamical quantum phase transitions (DQPTs)
Our findings provide a better understanding of the characteristics of the out-of-equilibrium system around DQPT.
arXiv Detail & Related papers (2022-03-14T10:54:31Z) - Finite-component dynamical quantum phase transitions [0.0]
We show two types of dynamical quantum phase transitions (DQPTs) in a quantum Rabi model.
One refers to distinct phases according to long-time averaged order parameters, the other is focused on the non-analytical behavior emerging in the rate function of the Loschmidt echo.
We find the critical times at which the rate function becomes non-analytical, showing its associated critical exponent as well as the corrections introduced by a finite frequency ratio.
arXiv Detail & Related papers (2020-08-31T17:31:17Z) - Dynamical crossover in the transient quench dynamics of short-range
transverse field Ising models [4.16271611433618]
We study the transient regimes of non-equilibrium processes probed by single-site observables that is magnetization per site.
The decay rates of time-dependent and single-site observables exhibit a dynamical crossover that separates two dynamical regions.
Our results reveal that scaling law exponent in short times at the close vicinity of the dynamical crossover is significantly different than the one predicted by analytical theory.
arXiv Detail & Related papers (2020-04-26T04:39:51Z) - Quantum Zeno effect appears in stages [64.41511459132334]
In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates.
We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
arXiv Detail & Related papers (2020-03-23T18:17:36Z)
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.