Quantum Phase Transition and Berry Phase in an Extended Dicke Model

• URL: http://arxiv.org/abs/2006.06597v1
• Date: Thu, 11 Jun 2020 16:46:46 GMT
• Title: Quantum Phase Transition and Berry Phase in an Extended Dicke Model
• Authors: C. A. Estrada Guerra (1 and 2), J. Mahecha-G\'omez (1), J. G. Hirsch (2) ((1) Universidad de Antioquia, Instituto de F\'isica, Facultad de Ciencias Exactas y Naturales, Medell\'in-Colombia, (2) Instituto de Ciencias Nucleares, Universidad Nacional Aut\'onoma de M\'exico, CDMX, Mexico)
• Abstract summary: We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms. The optical medium is pumped externally through a classical electric field, so that there is a degenerate parametric amplification effect. It is remarkable that the model allows the control of the quantum criticality through a suitable choice of the parameters of the non-linear optical medium.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized electromagnetic field. The optical medium is pumped externally through a classical electric field, so that there is a degenerate parametric amplification effect, which strongly modifies the field dynamics without affecting the atomic sector. Through a semiclassical description the different phases of this extended Dicke model are described. The quantum phase transition is characterized with the expectation values of some observables of the system as well as the Berry phase and its first derivative, where such quantities serve as order parameters. It is remarkable that the model allows the control of the quantum criticality through a suitable choice of the parameters of the non-linear optical medium, which could make possible the use of a low intensity laser to access the superradiant region experimentally.

Related papers

• Passive photonic CZ gate with two-level emitters in chiral multi-mode waveguide QED [41.94295877935867]
  We design a passive conditional gate between co-propagating photons using an array of only two-level emitters. The key resource is to harness the effective photon-photon interaction induced by the chiral coupling of the emitter array to two waveguide modes. We show how to harness this non-linear phase shift to engineer a conditional, deterministic photonic gate in different qubit encodings.
  arXiv  Detail & Related papers  (2024-07-08T18:00:25Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• All-optical modulation with single-photons using electron avalanche [69.65384453064829]
  We demonstrate all-optical modulation using a beam with single-photon intensity. Our approach opens up the possibility of terahertz-speed optical switching at the single-photon level.
  arXiv  Detail & Related papers  (2023-12-18T20:14:15Z)
• Coherent anharmonicity transfer from matter to light in the THz regime [0.0]
  We introduce an infrared cavity quantum electrodynamics (QED) approach for imprinting nonlinear phase shifts on individual THz pulses. Power-dependent phase shifts on the order of $ 0.1, pi$ can be achieved with femtosecond pulses of only a few $mu$W input power.
  arXiv  Detail & Related papers  (2023-09-21T16:16:40Z)
• Sudden change of the photon output field marks phase transitions in the quantum Rabi model [4.90940514405571]
  We describe a method to identify the dynamical critical phenomenon in the quantum Rabi model. Such a critical phenomenon manifests itself as a sudden change of steady-state output photons. The sudden change of steady-state output photons is an experimentally accessible measure to probe quantum phase transitions.
  arXiv  Detail & Related papers  (2022-07-25T12:57:08Z)
• 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)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Peculiarities of Interaction of a Quantum Dot with Non-Classical Light in the Self-Phase Modulation Regime [0.0]
  Influence of the self-phase modulation of quantum light on the induced resonant excitation of a semiconductor quantum dot is studied. The phase nonlinearity is found to result actually in a resonance detuning specific for each field photon number state.
  arXiv  Detail & Related papers  (2021-11-29T11:21:02Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model [0.0]
  An excited-state quantum phase transition might also stem from the lowering of the energy of the corresponding energy functional. One such example occurs in the 2D limit of the vibron model, once an anharmonic term in the form of a bosonic number operator is added to the Hamiltonian. In the present work, we characterize it in the symmetric, previously overlooked phase of the model making use of quantities such as the effective frequency, the expected value of the quantum number operator, the participation ratio, the density of states, and the quantum fidelity susceptibility.
  arXiv  Detail & Related papers  (2021-06-21T12:31:17Z)
• Classical, semiclassical and quantum signatures of quantum phase transitions in a (pseudo) relativistic many-body system [0.0]
  We identify a (pseudo) relativistic spin-dependent analogue of the celebrated quantum phase transition driven by the formation of a bright soliton in bosonic gases. We numerically investigate the approach from its finite-size precursors to the sharp quantum phase transition in the thermodynamic limit.
  arXiv  Detail & Related papers  (2020-07-09T09:08:17Z)

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.