Quench dynamics in the Jaynes-Cummings-Hubbard and Dicke models
- URL: http://arxiv.org/abs/2210.01355v2
- Date: Wed, 10 May 2023 01:09:22 GMT
- Title: Quench dynamics in the Jaynes-Cummings-Hubbard and Dicke models
- Authors: Andrew R. Hogan and Andy M. Martin
- Abstract summary: We numerically investigate the charging properties of two models of quantum batteries.
The two models differ in how the two-level systems are contained in cavities.
In each of these models we consider a scenario where the two-level systems start in the ground state and the coupling parameter between the photon and the two-level systems is quenched.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Both the Jaynes-Cummings-Hubbard (JCH) and Dicke models can be thought of as
idealised models of a quantum battery. In this paper we numerically investigate
the charging properties of both of these models. The two models differ in how
the two-level systems are contained in cavities. In the Dicke model, the $N$
two-level systems are contained in a single cavity, while in the JCH model the
two-level systems each have their own cavity and are able to pass photons
between them. In each of these models we consider a scenario where the
two-level systems start in the ground state and the coupling parameter between
the photon and the two-level systems is quenched. Each of these models display
a maximum charging power that scales with the size of the battery $N$ and no
super charging was found. Charging power also scales with the square root of
the average number of photons per two-level system $m$ for both models.
Finally, in the JCH model, the power was found to charge inversely with the
square root of the photon-cavity coupling $\kappa$.
Related papers
- Two-dopant origin of competing stripe and pair formation in Hubbard and $t$-$J$ models [0.0]
We study single pairs of dopants in a cylindrical system using the density-matrix renormalization group algorithm.
We establish that the interplay between order and uniform pairing, central to the models' phases at finite doping, has its origin at the single-pair level.
arXiv Detail & Related papers (2024-09-26T17:59:57Z) - Quantum Dicke battery supercharging in the "bound luminocity" state [0.0]
Dicke model describes an ensemble of two--level systems interacting with a single--mode electromagnetic wave in a resonator cavity.
In order to charge the battery, a coupling between the ensemble of two--level systems and resonator cavity should be turned off at a certain moment of time.
We derive analytically the superlinear law for the quantum battery charging power.
arXiv Detail & Related papers (2023-09-21T19:01:16Z) - Two-mode correlated multiphoton bundle emission [3.3752225883519404]
Two-mode correlated multiphoton bundle emission in a nondegenerate multiphoton Jaynes-Cummings model is studied.
Results show that there is an antibunching effect between the strongly-correlated photon bundles, so that the system behaves as an antibunched ($n+m$)-photon source.
arXiv Detail & Related papers (2023-09-16T03:31:10Z) - "Bound luminosity" state in the extended Dicke model [0.0]
We obtain quasiclassical equations of motion of the extended Dicke model.
The periodic beatings of the electromagnetic field occur in the microwave cavity filled with the ensemble of two--level systems.
arXiv Detail & Related papers (2022-09-22T18:57:57Z) - Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model.
The two-mode Dicke model exhibits normal to superradiant quantum phase transition.
We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z) - Multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model [3.307097167756987]
We study the multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model.
Our work paves the way towards the study of multiple-photon quantum coherent devices.
arXiv Detail & Related papers (2022-04-21T06:09:16Z) - Geometric phase in a dissipative Jaynes-Cummings model: theoretical
explanation for resonance robustness [68.8204255655161]
We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models.
In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls.
We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
arXiv Detail & Related papers (2021-10-27T15:27:54Z) - Algorithmic Ground-state Cooling of Weakly-Coupled Oscillators using
Quantum Logic [52.77024349608834]
We introduce a novel algorithmic cooling protocol for transferring phonons from poorly- to efficiently-cooled modes.
We demonstrate it experimentally by simultaneously bringing two motional modes of a Be$+$-Ar$13+$ mixed Coulomb crystal close to their zero-point energies.
We reach the lowest temperature reported for a highly charged ion, with a residual temperature of only $Tlesssim200mathrmmu K$ in each of the two modes.
arXiv Detail & Related papers (2021-02-24T17:46:15Z) - Boundary time crystals in collective $d$-level systems [64.76138964691705]
Boundary time crystals are non-equilibrium phases of matter occurring in quantum systems in contact to an environment.
We study BTC's in collective $d$-level systems, focusing in the cases with $d=2$, $3$ and $4$.
arXiv Detail & Related papers (2021-02-05T19:00:45Z) - Mesoscopic quantum superposition states of weakly-coupled matter-wave
solitons [58.720142291102135]
We establish quantum features of an atomic soliton Josephson junction (SJJ) device.
We show that the SJJ-model in quantum domain exhibits unusual features due to its effective nonlinear strength proportional to the square of total particle number.
We have shown that the obtained quantum state is more resistant to few particle losses from the condensates if tiny components of entangled Fock states are present.
arXiv Detail & Related papers (2020-11-26T09:26:19Z) - Mapping the charge-dyon system into the position-dependent effective
mass background via Pauli equation [77.34726150561087]
This work aims to reproduce a quantum system composed of a charged spin - $1/2$ fermion interacting with a dyon with an opposite electrical charge.
arXiv Detail & Related papers (2020-11-01T14:38:34Z)
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.