Controlling qubit-oscillator systems using linear parameter sweeps
- URL: http://arxiv.org/abs/2303.09834v3
- Date: Wed, 6 Sep 2023 13:27:20 GMT
- Title: Controlling qubit-oscillator systems using linear parameter sweeps
- Authors: Sahel Ashhab, Tomoko Fuse, Fumiki Yoshihara, Sunmi Kim, Kouichi Semba
- Abstract summary: We investigate the dynamics of a qubit-oscillator system under the influence of a linear sweep of system parameters.
In the first case, we consider sweeping the parameters between the regime of a weakly correlated ground state and the regime of a strongly correlated ground state.
We find a qualitative asymmetry in the dynamics between the cases of a normal-to-superradiant and superradiant-to-normal quench.
- Score: 0.23999111269325263
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the dynamics of a qubit-oscillator system under the influence
of a linear sweep of system parameters. We consider two main cases. In the
first case, we consider sweeping the parameters between the regime of a weakly
correlated ground state and the regime of a strongly correlated ground state, a
situation that can be viewed as a finite-duration quench between two phases of
matter: the normal phase and the superradiant phase. Excitations are created as
a result of this quench. We investigate the dependence of the excitation
probabilities on the various parameters. We find a qualitative asymmetry in the
dynamics between the cases of a normal-to-superradiant and
superradiant-to-normal quench. The second case of parameter sweeps that we
investigate is the problem of a Landau-Zener sweep in the qubit bias term for a
qubit coupled to a harmonic oscillator. We analyze a theoretical formula based
on the assumption that the dynamics can be decomposed into a sequence of
independent Landau-Zener transitions. In addition to establishing the
conditions of validity for the theoretical formula, we find that under suitable
conditions, deterministic and robust multi-photon state preparation is possible
in this system.
Related papers
- 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) - Superradiant phase transition induced by the indirect Rabi interaction [14.9787678220469]
We study the superradiant phase transition (SPT) in an indirect Rabi model.
We present the analytical expression of quantum critical point in terms of the original system parameters.
Considering a hybrid magnon-cavity-qubit system, we predict the squeezed cat state of magnon generated with feasible experimental parameters.
arXiv Detail & Related papers (2023-02-15T07:52:27Z) - Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain
in mixtures of ground and first excited states [0.7499722271664147]
We show that the nearest neighbour entanglement in a mixture of ground and first excited states - a subjacent state - of the J1-J2 Heisenberg quantum spin chain can be used as an order parameter.
We study the effectiveness of the order parameter for varying relative mixing probabilities between the ground and first excited states in the subjacent state for different system sizes.
arXiv Detail & Related papers (2022-11-01T17:41:49Z) - 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) - Assessment of weak-coupling approximations on a driven two-level system
under dissipation [58.720142291102135]
We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation.
We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
arXiv Detail & Related papers (2020-11-11T22:45:57Z) - 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) - Full-polaron master equation approach to dynamical steady states of a
driven two-level system beyond the weak system-environment coupling [1.7188280334580193]
We apply a full-polaron master equation and a weak-coupling non-Markovian master equation to describe the steady-state properties of a driven two-level system.
Our full-polaron equation approach does not require the special renormalization scheme employed in their weak-coupling theoretical method.
arXiv Detail & Related papers (2020-07-17T17:21:01Z) - Quantum relaxation in a system of harmonic oscillators with
time-dependent coupling [0.0]
We analyze the relaxation of nonequilibrium initial distributions for a system of coupled one-dimensional harmonic oscillators.
We show that in general the system studied here tends to equilibrium, but the relaxation can be retarded depending on the values of the parameters.
arXiv Detail & Related papers (2020-07-06T12:57:18Z) - Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
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.
arXiv Detail & Related papers (2020-06-20T10:07:01Z) - Cat states in a driven superfluid: role of signal shape and switching
protocol [62.997667081978825]
We investigate the behavior of a one-dimensional Bose-Hubbard model whose kinetic energy is made to oscillate with zero time-average.
We analyze the robustness of this unconventional ground state against variations of a number of system parameters.
arXiv Detail & Related papers (2020-05-11T15:15:06Z)
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.