Quantum effects beyond mean-field treatment in quantum optics
- URL: http://arxiv.org/abs/2111.14636v1
- Date: Mon, 29 Nov 2021 15:45:24 GMT
- Title: Quantum effects beyond mean-field treatment in quantum optics
- Authors: Yue-Xun Huang, Ming Li, Zi-Jie Chen, Xu-Bo Zou, Guang-Can Guo,
Chang-Ling Zou
- Abstract summary: Mean-field treatment (MFT) is frequently applied to approximately predict the dynamics of quantum optics systems.
Here, we provide a general and systematic theoretical framework based on the perturbation theory in company with the MFT to capture unanticipated quantum effects.
Our work clearly reveals the attendant quantum effects under mean-field treatment and provides a more precise theoretical framework to describe quantum optics systems.
- Score: 5.148894494637909
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Mean-field treatment (MFT) is frequently applied to approximately predict the
dynamics of quantum optics systems, to simplify the system Hamiltonian through
neglecting certain modes that are driven strongly or couple weakly with other
modes. While in practical quantum systems, the quantum correlations between
different modes might lead to unanticipated quantum effects and lead to
significantly distinct system dynamics. Here, we provide a general and
systematic theoretical framework based on the perturbation theory in company
with the MFT to capture these quantum effects. The form of nonlinear
dissipation and parasitic Hamiltonian are predicted, which scales inversely
with the nonlinear coupling rate. Furthermore, the indicator is also proposed
as a measure of the accuracy of mean-field treatment. Our theory is applied to
the example of quantum frequency conversion, in which mean-field treatment is
commonly applied, to test its limitation under strong pump and large coupling
strength. The analytical results show excellent agreement with the numerical
simulations. Our work clearly reveals the attendant quantum effects under
mean-field treatment and provides a more precise theoretical framework to
describe quantum optics systems.
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) - Dynamical Mean Field Theory for Real Materials on a Quantum Computer [0.0]
We report on the development of a hybrid quantum-classical DFT+DMFT simulation framework.
Hardware experiments with up to 14 qubits on the IBM Quantum system are conducted.
We showcase the utility of our quantum DFT+DMFT workflow by assessing the correlation effects on the electronic structure of a real material.
arXiv Detail & Related papers (2024-04-15T07:45:50Z) - Density-Matrix Mean-Field Theory [0.8297437709133654]
We propose an improved mean-field theory, density-matrix mean-field theory (DMMFT)
DMMFT constructs effective Hamiltonians, incorporating quantum environments shaped by entanglements, quantified by the reduced density matrices.
As demonstrative examples, we show that DMMFT can not only quantitatively evaluate the renormalization of order parameters induced by quantum fluctuations, but can also detect the topological quantum phases.
arXiv Detail & Related papers (2024-01-11T19:31:56Z) - Quantum-classical simulation of quantum field theory by quantum circuit
learning [0.0]
We employ quantum circuit learning to simulate quantum field theories (QFTs)
We find that our predictions closely align with the results of rigorous classical calculations.
This hybrid quantum-classical approach illustrates the feasibility of efficiently simulating large-scale QFTs on cutting-edge quantum devices.
arXiv Detail & Related papers (2023-11-27T20:18:39Z) - Effective Description of the Quantum Damped Harmonic Oscillator:
Revisiting the Bateman Dual System [0.3495246564946556]
We present a quantization scheme for the damped harmonic oscillator (QDHO) using a framework known as momentous quantum mechanics.
The significance of our study lies in its potential to serve as a foundational basis for the effective description of open quantum systems.
arXiv Detail & Related papers (2023-09-06T03:53:09Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems.
Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - Strong Coupling Optomechanics Mediated by a Qubit in the Dispersive
Regime [0.0]
dispersive, radiation-pressure interaction between the mechanical and the electromagnetic modes is typically very weak.
We show that if the interaction is mediated by a Josephson circuit, one can have an effective dynamic corresponding to a huge enhancement of the single-photon optomechanical coupling.
arXiv Detail & Related papers (2021-07-29T20:24:20Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - 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.