Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models

• URL: http://arxiv.org/abs/2312.03833v1
• Date: Wed, 6 Dec 2023 19:00:02 GMT
• Title: Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
• Authors: Agnieszka Wierzchucka, Francesco Piazza, Pieter W. Claeys
• Abstract summary: The Tavis-Cummings model is a paradigmatic central-mode model where a set of two-level quantum emitters (spins) are coupled to a collective cavity mode. We study the eigenstate spectrum, its localization properties and the effect on dynamics, focusing on the two-excitation sector relevant for nonlinear photonics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Tavis-Cummings model is a paradigmatic central-mode model where a set of two-level quantum emitters (spins) are coupled to a collective cavity mode. Here we study the eigenstate spectrum, its localization properties and the effect on dynamics, focusing on the two-excitation sector relevant for nonlinear photonics. These models admit two sources of disorder: in the coupling between the spins and the cavity and in the energy shifts of the individual spins. While this model was known to be exactly solvable in the limit of a homogeneous coupling and inhomogeneous energy shifts, we here establish the solvability in the opposite limit of a homogeneous energy shift and inhomogeneous coupling, presenting the exact solution and corresponding conserved quantities. We identify three different classes of eigenstates, exhibiting different degrees of multifractality and semilocalization closely tied to the integrable points, and study their stability to perturbations away from these solvable points. The dynamics of the cavity occupation number away from equilibrium, exhibiting boson bunching and a two-photon blockade, is explicitly related to the localization properties of the eigenstates and illustrates how these models support a collective spin description despite the presence of disorder.

Related papers

• Entanglement dynamics from universal low-lying modes [0.0]
  Information-theoretic quantities such as Renyi entropies show a remarkable universality in their late-time behaviour. We provide evidence that in systems with no symmetries, the low-energy excitations of the Euclidean Hamiltonian are universally given by a gapped quasiparticle-like band. This structure provides an understanding of entanglement dynamics in terms of a universal set of gapped low-lying modes.
  arXiv  Detail & Related papers  (2024-07-23T18:00:16Z)
• Dynamics of a Generalized Dicke Model for Spin-1 Atoms [0.0]
  The Dicke model is a staple of theoretical cavity Quantum Electrodynamics (cavity QED) It demonstrates a rich variety of dynamics such as phase transitions, phase multistability, and chaos. The varied and complex behaviours admitted by the model highlights the need to more rigorously map its dynamics.
  arXiv  Detail & Related papers  (2024-03-04T04:09:35Z)
• Collective dynamics of the unbalanced three-level Dicke model [1.6621646421302865]
  We study a three-level Dicke model in V-configuration under both closed and open conditions. With independently tunable co- and counter-rotating coupling strength of the interaction Hamiltonian, this model is a generalization of the standard Dicke model. It is found that the system exhibits rich quantum phase behaviours, including distinct superradiant fixed points, multi-phase coexistence and limit cycle oscillation.
  arXiv  Detail & Related papers  (2022-11-14T11:58:54Z)
• 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)
• Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution [0.0]
  We present an exact solution in arbitrary dimensions for the steady states of a class of quantum driven-dissipative bosonic models. Our solutions reveal a wealth of striking phenomena, including the emergence of dissipative phase transitions.
  arXiv  Detail & Related papers  (2022-08-10T17:11:59Z)
• 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)
• 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)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• 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)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Atomic self-organization emerging from tunable quadrature coupling [5.624813092014403]
  We propose a novel scheme to couple two density-wave degrees of freedom of a BEC to two quadratures of the cavity field. We unravel a dynamically unstable state induced by the cavity dissipation. Our work enriches the quantum simulation toolbox in the cavity-quantum-electrodynamics system.
  arXiv  Detail & Related papers  (2020-04-07T13:25:44Z)

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.