Dissipative Rabi model in the dispersive regime
- URL: http://arxiv.org/abs/2004.02519v2
- Date: Mon, 6 Jul 2020 11:25:02 GMT
- Title: Dissipative Rabi model in the dispersive regime
- Authors: Clemens M\"uller
- Abstract summary: We present results on the dispersive regime of the dissipative Rabi model without taking the rotating wave approximation of the underlying Hamiltonian.
Results additionally predict new types of drive induced qubit dissipation and dephasing, not present in previous theories.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The dispersive regime of circuit QED is the main workhorse for todays quantum
computing prototypes based on superconducting qubits. Analytic descriptions of
this model typically rely on the rotating wave approximation of the interaction
between the qubits and resonators, using the Jaynes-Cummings model as starting
point for the dispersive transformation. Here we present analytic results on
the dispersive regime of the dissipative Rabi model, without taking the
rotating wave approximation of the underlying Hamiltonian. Using a recently
developed hybrid perturbation theory based on the expansion of the time
evolution on the Keldysh contour [Phys. Rev. A 95, 013847 (2017)], we derive
simple analytic expressions for all experimentally relevant dynamical
parameters like dispersive shift and resonator induced Purcell decay rate,
focussing our analysis on a generic multi-level qubit. The analytical equations
are easily tractable and reduce to the known Jaynes-Cummings results in the
relevant limit. They however show qualitative differences at intermediate and
large detuning, allowing for more accurate modelling of the interaction between
superconducting qubits and resonators. In the limit of strong resonator
driving, our results additionally predict new types of drive induced qubit
dissipation and dephasing, not present in previous theories.
Related papers
- Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide.
When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits.
We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
arXiv Detail & Related papers (2024-08-30T15:54:33Z) - 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) - Dispersive Non-reciprocity between a Qubit and a Cavity [24.911532779175175]
We present an experimental study of a non-reciprocal dispersive-type interaction between a transmon qubit and a superconducting cavity.
We show that the qubit-cavity dynamics is well-described in a wide parameter regime by a simple non-reciprocal master-equation model.
arXiv Detail & Related papers (2023-07-07T17:19:18Z) - 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) - 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) - Many-body parametric resonances in the driven sine-Gordon model [0.0]
We study the driven sine-Gordon model with a modulated tunnel coupling via a semi-classical Truncated Wigner Approximation (TWA)
For weak driving amplitude, we find an exponentially fast energy absorption in the main resonant mode.
We capture the strong correlations induced by these resonant processes by evaluating higher order connected correlation functions.
arXiv Detail & Related papers (2022-04-15T18:01:10Z) - 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) - Intrinsic mechanisms for drive-dependent Purcell decay in
superconducting quantum circuits [68.8204255655161]
We find that in a wide range of settings, the cavity-qubit detuning controls whether a non-zero photonic population increases or decreases qubit decay Purcell.
Our method combines insights from a Keldysh treatment of the system, and Lindblad theory.
arXiv Detail & Related papers (2021-06-09T16:21:31Z) - Driven-dissipative Ising Model: An exact field-theoretical analysis [0.0]
Driven-dissipative many-body systems are difficult to analyze analytically due to their non-equilibrium dynamics, dissipation and many-body interactions.
We develop an exact field-theoretical analysis and a diagrammatic representation of the spin model that can be understood from a simple scattering picture.
arXiv Detail & Related papers (2021-01-13T19:00:21Z) - Jaynes-Cummings model under monochromatic driving [0.0]
We study the properties of driven Jaynes-Cummings model under monochromatic driving.
We argue that the rich properties of driven Jaynes-Cummings model represent a new area for experimental investigations with superconducting qubits and other systems.
arXiv Detail & Related papers (2020-03-22T04:12:29Z) - Theoretical methods for ultrastrong light-matter interactions [91.3755431537592]
This article reviews theoretical methods developed to understand cavity quantum electrodynamics in the ultrastrong-coupling regime.
The article gives a broad overview of the recent progress, ranging from analytical estimate of ground-state properties to proper computation of master equations.
Most of the article is devoted to effective models, relevant for the various experimental platforms in which the ultrastrong coupling has been reached.
arXiv Detail & Related papers (2020-01-23T18:09:10Z)
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.