Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models

• URL: http://arxiv.org/abs/2404.12438v1
• Date: Thu, 18 Apr 2024 18:00:34 GMT
• Title: Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
• Authors: Ivan A. Bocanegra-Garay, Miguel Castillo-Celeita, J. Negro, L. M. Nieto, Fernando J. Gómez-Ruiz,
• Abstract summary: The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques.
• Score: 39.58317527488534
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated.

Related papers

• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding and Majorana-Schrödinger Cat States [39.58317527488534]
  We investigate the impact of introducing a local cavity within the center of a topological chain. This cavity induces a scissor-like effect that bisects the chain, liberating Majorana zero modes (MZMs) within the bulk. By leveraging the symmetry properties of fermion modes within a two-site cavity, we propose a novel method for generating MZM-polariton Schr"odinger cat states.
  arXiv  Detail & Related papers  (2024-09-06T18:00:00Z)
• Engineering a Josephson junction chain for the simulation of the clock model [0.0]
  fabrication techniques and high-quality semiconductor-superconductor interfaces allowed for unprecedented tunability of Josephson junction arrays (JJA) We show that few experimentally accessible control parameters allow for the exploration of the rich phase diagrams of the associated low-energy field theories. Our results expand the horizon for analog quantum simulations with JJAs towards models that can not be efficiently captured with qubit architectures.
  arXiv  Detail & Related papers  (2024-08-26T18:01:22Z)
• PT-symmetric quantum Rabi model [2.8009256749748257]
  We explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. Rich and exotic behaviors are observed in both strong and ultra-strong coupling regimes. Our work extends the theory of PT symmetry into the full quantum light-matter interaction regime and provides insights that can be readily enlarged to a broad class of quantum optical systems.
  arXiv  Detail & Related papers  (2022-12-13T14:00:51Z)
• Topological Josephson Junctions in the Integer Quantum Hall Regime [42.408991654684876]
  tunable Josephson junctions (TJJs) are desirable platforms for investigating the anomalous Josephson effect and topological quantum insulator applications. We propose a robust and electrostatically tunable TJJ by combining the physics of the integer quantum Hall (IQH) regime and of superconductors. They are of particular relevance towards scalable and robust Andreev-qubit platforms, and also for efficient phase batteries.
  arXiv  Detail & Related papers  (2022-11-04T16:45:07Z)
• Symmetric Pruning in Quantum Neural Networks [111.438286016951]
  Quantum neural networks (QNNs) exert the power of modern quantum machines. QNNs with handcraft symmetric ansatzes generally experience better trainability than those with asymmetric ansatzes. We propose the effective quantum neural tangent kernel (EQNTK) to quantify the convergence of QNNs towards the global optima.
  arXiv  Detail & Related papers  (2022-08-30T08:17:55Z)
• 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)
• Exact $k$-body representation of the Jaynes-Cummings interaction in the dressed basis: Insight into many-body phenomena with light [0.0]
  We present a non-perturbative procedure for transforming the JC Hamiltonian into a dressed operator representation. This work is intended to serve as a clear mathematical exposition of bosonic many-body interactions underlying JC-type systems.
  arXiv  Detail & Related papers  (2021-03-12T23:21:12Z)
• 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)
• Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics [1.9573380763700712]
  We propose the control of single- and two-body Jaynes-Cummings systems in a non-equilibrium scenario. Our findings provide a systematic approach to manipulate polaritons interchange, that we apply to reveal new insights in the transition between Mott Insulator- and Super-like states.
  arXiv  Detail & Related papers  (2020-10-07T16:31:03Z)
• Linear Optical Approach to Supersymmetric Dynamics [3.380017435193996]
  In quantum mechanics, the supersymmetric systems refer to the systems involving two supersymmetric partner Hamiltonians. An interferometric scheme has been proposed to show this relationship in ultracold atoms.
  arXiv  Detail & Related papers  (2020-09-03T19:04:19Z)

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.