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Related papers: PT-symmetric quantum Rabi model

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The $\mathcal{PT}$-symmetric non-Hermitian quantum Rabi model (QRM) with imaginary coupling is solved using the Bogoliubov operators approach. A transcendental function responsible for the exact solutions is derived, with its zeros yielding…

Quantum Physics · Physics 2025-07-15 Jiong Li , Yi-Cheng Wang , Li-Wei Duan , Qing-Hu Chen

We investigate two non-Hermitian two-photon quantum Rabi models (tpQRM) that exhibit $\mathcal{PT}$ symmetry: the biased tpQRM (btpQRM), in which the qubit bias is purely imaginary, and the dissipative tpQRM (dtpQRM), where the two-photon…

Quantum Physics · Physics 2025-11-05 Yi-Cheng Wang , Jiong Li , Qing-Hu Chen

The $\mathcal{PT}$ symmetric semiclassical Rabi model explores the fundamental interaction between a two-level atom and a classical field, revealing novel phenomena in open systems through the inclusion of non-Hermitian terms. We propose a…

Quantum Physics · Physics 2025-04-08 Yibo Liu , Liwei Duan , Qing-Hu Chen

We investigate the effects of a time-periodic, non-hermitian, PT-symmetric perturbation on a system with two (or few) levels, and obtain its phase diagram as a function of the perturbation strength and frequency. We demonstrate that when…

We study a non-Hermitian version of the Rabi model, where a two-level system is periodically driven with an imaginary-valued drive strength, leading to alternating gain and loss. In the Floquet picture, the model exhibits PT symmetry, which…

Quantum Physics · Physics 2015-10-09 Tony E. Lee , Yogesh N. Joglekar

The asymmetric quantum Rabi model (AQRM), which describes the interaction between a quantum harmonic oscillator and a biased qubit, arises naturally in circuit quantum electrodynamic circuits and devices. The existence of hidden symmetry in…

Quantum Physics · Physics 2021-09-10 Zi-Min Li , Devid Ferri , David Tilbrook , Murray T. Batchelor

A generalized quantum Rabi Hamiltonian with both one- and two-photon terms has emerged in the circuit quantum electrodynamics system for a decade. The usual parity symmetry is broken naturally in the simultaneous presence of both couplings,…

Quantum Physics · Physics 2019-01-04 You-Fei Xie , Liwei Duan , Qing-Hu Chen

The asymmetric quantum Rabi model (AQRM) has a broken $\mathbb{Z}_2$ symmetry, with generally a non-degenerate eigenvalue spectrum. In some special cases where the asymmetric parameter is a multiple of the cavity frequency, stable level…

Quantum Physics · Physics 2021-02-24 Zi-Min Li , Murray T. Batchelor

We realize a photonic analog simulator of the quantum Rabi model, based on light transport in femtosecond-laser-written waveguide superlattices, which provides an experimentally accessible testbed to explore the physics of light-matter…

Quantum Physics · Physics 2012-05-14 Andrea Crespi , Stefano Longhi , Roberto Osellame

The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $\epsilon\in\frac{1}{2}\mathbb{Z}$ of the bias parameter $\epsilon$. Such level crossings are expected to be associated with some hidden…

Quantum Physics · Physics 2021-03-05 Vladimir V. Mangazeev , Murray T. Batchelor , Vladimir V. Bazhanov

It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden $sl(2)$ symmetry and hence possesses quasi-exact solutions. These are located precisely at the exceptional points of the spectrum, the boundaries of the…

Quantum Physics · Physics 2025-02-12 M. Baradaran , D. Braak , L. M. Nieto , S. Zarrinkamar

The experimental access to ultra-strong couplings in light-matter interactions has made the quantum phase transition (QPT) in the quantum Rabi model practically relevant, while the physics of the QPT has not yet been fully explored. The…

Quantum Physics · Physics 2025-12-29 Feng Qiao , Qiu-Yi Chen , Zu-Jian Ying

The Rabi Hamiltonian, describing the interaction between a two-level atomic system and a single cavity mode of the electromagnetic field, is one of the fundamental models in quantum optics. The model becomes exactly solvable by considering…

Quantum Physics · Physics 2021-08-04 Giovanni Scala , Karolina Słowik , Paolo Facchi , Saverio Pascazio , Francesco Pepe

The quantum Rabi model (QRM) describes the interaction between a two-level system (qubit) and a quantum harmonic oscillator. In the limit where the qubit frequency is smaller than the harmonic frequency, the QRM can be well approximated by…

Quantum Physics · Physics 2021-09-24 Zi-Min Li , Murray T. Batchelor

The quantum Rabi model describes the fundamental mechanism of light-matter interaction. It consists of a two-level atom or qubit coupled to a quantized harmonic mode via a transversal interaction. In the weak coupling regime, it reduces to…

The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of…

We explore the effect of self-orthogonality at exceptional points (EPs) in non-Hermitian Parity-Time-symmetric systems. Using a driven three-band lattice model, we show that the Rabi frequency diverges as the system approaches an EP due to…

Other Condensed Matter · Physics 2025-07-15 Alexander Fritzsche , Riccardo Sorbello , Ronny Thomale , Alexander Szameit

Many indefinite-metric (often called pseudo-Hermitian or PT-symmetric) quantum models H prove "physical" (i.e., Hermitian with respect to an innovated, ad hoc scalar product) inside a characteristic domain of parameters D. This means that…

Quantum Physics · Physics 2007-05-23 Miloslav Znojil

We investigate the dynamics of parity- and time-reversal (PT ) symmetric two-energy-level atoms in the presence of two optical and a radio-frequency (rf) fields. The strength and relative phase of fields can drive the system from unbroken…

Quantum Gases · Physics 2018-06-13 Lei Du , Zhihao Xu , Chuanhao Yin , Liping Guo

The asymmetric quantum Rabi model (AQRM) is a fundamental model in quantum optics describing the interaction of light and matter. Besides its immediate physical interest, the AQRM possesses an intriguing mathematical structure which is far…

Mathematical Physics · Physics 2024-02-12 Daniel Braak , Linh Thi Hoai Nguyen , Cid Reyes-Bustos , Masato Wakayama
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