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In this paper we analyze properties of the phase transition that appears in a set of quantum optical models; Dicke, Tavis-Cummings, quantum Rabi, and finally the Jaynes-Cummings model. As the light-matter coupling is increased into the deep…

Quantum Physics · Physics 2017-03-31 Jonas Larson , Elinor K. Irish

This work presents a pedagogical and self-contained derivation of the first-order effective Hamiltonian for the two-mode Jaynes-Cummings model in the dispersive regime. A perturbative unitary transformation removes nonresonant atom-field…

Quantum Physics · Physics 2026-01-27 Alejandro R. Urzúa

Photon-based strongly-correlated lattice models like the Jaynes-Cummings and Rabi lattices differ from their more conventional relatives like the Bose-Hubbard model by the presence of an additional tunable parameter: the frequency detuning…

Mesoscale and Nanoscale Physics · Physics 2013-11-08 Guanyu Zhu , Sebastian Schmidt , Jens Koch

We follow the passage from complex amplitude bistability to phase bistability in the driven dissipative Jaynes-Cummings oscillator. Quasidistribution functions in the steady state are employed, for varying qubit-cavity detuning and drive…

Quantum Physics · Physics 2017-01-26 Th. K. Mavrogordatos

The dispersive regime of circuit QED is the main workhorse for todays quantum computing prototypes based on superconducting qubits. Analytic descriptions of this model typically rely on the rotating wave approximation of the interaction…

Quantum Physics · Physics 2020-07-15 Clemens Müller

A class of shape-invariant bound-state problems which represent transition in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels as well as intensity-dependent interactions.…

Quantum Physics · Physics 2008-11-26 A. N. F. Aleixo , A. B. Balantekin , M. A. Candido Ribeiro

Strong light-matter coupling is a quantum process in which light and matter are coupled together, generating hybridized states. This is similar to the notion of molecular hybridization, but one of the components is light. Here, we utilized…

Applied Physics · Physics 2024-02-20 Jhuma Dutta , Pooja Bhatt , Kuljeet Kaur , Daniel E. Gómez , Jino George

We present a time-dependent variational approach with the multiple Davydov $D_2$ trial state to simulate the dynamics of light-matter systems when the field is in a coherent state with an arbitrary finite mean photon number. The variational…

Quantum Physics · Physics 2024-07-18 Yiying Yan , Zhiguo Lü , JunYan Luo

We report on an emergent dynamical phase of a strongly-correlated light-matter system, which is governed by dimerization processes due to short-range and long-range two-body interactions. The dynamical phase is characterized by the…

Quantum Physics · Physics 2020-03-26 Rubén Peña , Felipe Torres , Guillermo Romero

The Jaynes-Cummings and quantum Rabi models are fundamental to cavity and circuit quantum electrodynamics, as they describe the simplest form of light-matter interaction, where a single qubit is coupled to a single bosonic mode. A scenario…

Quantum Physics · Physics 2025-06-11 Antti Vaaranta , Marco Cattaneo , Paolo Muratore-Ginanneschi

A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupled-channel…

Quantum Physics · Physics 2007-05-23 A. N. F. Aleixo , A. B. Balantekin , M. A. Candido Ribeiro

We consider theoretically a driven-dissipative quantum many-body system consisting of an atomic ensemble in a single-mode optical cavity as described by the open Tavis-Cummings model. In this hybrid light-matter system the interplay between…

Information about quantum phase transitions in conventional condensed matter systems, must be sought by probing the matter system itself. By contrast, we show that mixed matter-light systems offer a distinct advantage in that the photon…

Quantum Physics · Physics 2009-11-13 Timothy C. Jarrett , Alexandra Olaya-Castro , Neil F. Johnson

In this note we discuss the invariance under general changes of reference frame of all the physical predictions of particle detector models in quantum field theory in general and, in particular, of those used in quantum optics to model…

Quantum Physics · Physics 2018-08-10 Eduardo Martin-Martinez , Pablo Rodriguez-Lopez

Light-matter systems allow to realize a strongly correlated phase where photons are present. In these systems strong correlations are achieved by optical nonlinearities, which appear due to the coupling of photons to atomic-like structures.…

Mesoscale and Nanoscale Physics · Physics 2011-06-10 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

We show that quantum optical systems preserving the total number of excitations admit a simple classification of possible resonant transitions (including effective), which can be classified by analizying the free Hamiltonian and the…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , I. Sainz

We discuss the physics of the Rabi-Hubbard model describing large arrays of coupled cavities interacting with two level atoms via a Rabi non-linearity. We show that the inclusion of counter-rotating terms in the light-matter interaction,…

Other Condensed Matter · Physics 2013-11-13 M. Schiró , M. Bordyuh , B. Öztop , H. E. Türeci

We show that the saturation of a multiphoton transition is accompanied by a gradual collapse of quantum multimodality in the strong-coupling limit of the weakly driven Jaynes-Cummings (JC) model. By means of a perturbative method, we…

Quantum Physics · Physics 2022-07-15 Th. K. Mavrogordatos

The Jaynes--Cummings system is one of the most fundamental models of how light and matter interact. When driving the system with a coherent state (e.g. laser light), it is often assumed that whether the light couples through the cavity or…

Quantum Physics · Physics 2018-09-12 Kevin Fischer , Shuo Sun , Daniil Lukin , Yousif Kelaita , Rahul Trivedi , Jelena Vučković

We present a peculiar transition triggered by infinitesimal dissipation in the interpolating Dicke-Tavis-Cummings model. The model describes a ubiquitous light-matter setting using a collection of two-level systems interacting with quantum…

Quantum Gases · Physics 2020-03-09 M. Soriente , R. Chitra , O. Zilberberg
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