Non-orthogonal qubit states expansion for the asymmetric quantum Rabi
model
- URL: http://arxiv.org/abs/2006.08913v3
- Date: Tue, 1 Dec 2020 11:17:25 GMT
- Title: Non-orthogonal qubit states expansion for the asymmetric quantum Rabi
model
- Authors: Zi-Min Li, Devid Ferri and Murray T. Batchelor
- Abstract summary: We present a physically motivated variational wave function for the ground state of the asymmetric quantum Rabi model (AQRM)
The variational expansion describes the ground state remarkably well in almost all parameter regimes, especially with arbitrary bias.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a physically motivated variational wave function for the ground
state of the asymmetric quantum Rabi model (AQRM). The wave function is a
weighted superposition of squeezed coherent states entangled with
non-orthogonal qubit states, and relies only on three variational parameters in
the regimes of interest where the squeezing effect becomes negligible. The
variational expansion describes the ground state remarkably well in almost all
parameter regimes, especially with arbitrary bias. We use the variational
result to calculate various relevant physical observables of the ground state,
and make a comparison with existing approximations and the exact solution. The
results show that the variational expansion is a significant improvement over
the existing approximations for the AQRM.
Related papers
- Quantifying the rotating-wave approximation of the Dicke model [0.0]
We analytically find quantitative, non-perturbative bounds to the validity of the rotating-wave approximation (RWA) for the multi-atom generalization of the quantum Rabi model.
Our bounds are intrinsically state-dependent and, in particular, are significantly different in the cases of entangled and non-entangled states.
arXiv Detail & Related papers (2024-10-24T12:43:09Z) - Variational Equations-of-States for Interacting Quantum Hamiltonians [0.0]
We present variational equations of state (VES) for pure states of an interacting quantum Hamiltonian.
VES can be expressed in terms of the variation of the density operators or static correlation functions.
We present three nontrivial applications of the VES.
arXiv Detail & Related papers (2023-07-03T07:51:15Z) - Message-Passing Neural Quantum States for the Homogeneous Electron Gas [41.94295877935867]
We introduce a message-passing-neural-network-based wave function Ansatz to simulate extended, strongly interacting fermions in continuous space.
We demonstrate its accuracy by simulating the ground state of the homogeneous electron gas in three spatial dimensions.
arXiv Detail & Related papers (2023-05-12T04:12:04Z) - 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) - Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications.
We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
arXiv Detail & Related papers (2023-01-18T11:29:49Z) - Non-Gaussian Variational Wavefunctions for Interacting Bosons on the
Lattice [0.0]
A variational method for studying the ground state of strongly interacting quantum many-body bosonic systems is presented.
Our approach constructs a class of extensive variational non-Gaussian wavefunctions which extend Gaussian states.
We find that, for different values of the interaction, the non-Gaussian NLCT-trial states sensibly improve the ground state energy estimation when the system is in the Mott phase.
arXiv Detail & Related papers (2022-11-08T15:43:05Z) - Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings.
We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z) - Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model
on a quantum computer [0.9137554315375919]
We apply the symmetry-adapted variational-quantum-eigensolver (VQE) to a two-component Fermi-Hubbard model on a bipartite lattice.
In the extended VQE method, the Rayleigh quotient for the Hamiltonian and a parametrized quantum state in a properly chosen subspace is minimized.
We show that spatial symmetry operations for fermions in an occupation basis can be expressed as a product of the nearest-neighbor fermionic swap operations on a quantum circuit.
arXiv Detail & Related papers (2021-12-28T10:18:27Z) - Exact variational dynamics of the multimode Bose-Hubbard model based on
SU(M) coherent states [0.0]
We propose a variational approach to the dynamics of the Bose-Hubbard model beyond the mean field approximation.
The number of parameters that have to be propagated is more than one order of magnitude less than in an expansion in terms of Fock states.
arXiv Detail & Related papers (2021-02-11T10:48:45Z) - 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) - Gaussian Process States: A data-driven representation of quantum
many-body physics [59.7232780552418]
We present a novel, non-parametric form for compactly representing entangled many-body quantum states.
The state is found to be highly compact, systematically improvable and efficient to sample.
It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
arXiv Detail & Related papers (2020-02-27T15:54:44Z)
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.