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The analytical exact solutions to the mixed quantum Rabi model (QRM) including both one- and two-photon terms are found by using Bogoliubov operators. Transcendental functions in terms of $4 \times 4$ determinants responsible for the exact…

Quantum Physics · Physics 2019-12-06 Liwei Duan , You-Fei Xie , Qing-Hu Chen

We investigate the quantum phase transition (QPT) in the XXZ central spin model, which can be described as a spin-1/2 particle coupled to N bath spins. In general, the QPT is supposed to occur only in the thermodynamical limit. In contrast,…

Quantum Physics · Physics 2023-02-01 Lei Shao , Rui Zhang , Wangjun Lu , Zhucheng Zhang , Xiaoguang Wang

A tractable N-state Rabi Hamiltonian is introduced by extending the parity symmetry of the two-state model. The single-mode case provides a few-parameter description of a novel class of periodic systems, predicting that the ground state of…

Mesoscale and Nanoscale Physics · Physics 2012-05-03 Victor V. Albert

We study dynamical phase transitions (DPTs) in quantum many-body systems with infinite-range interaction, and present a theory connecting the two kinds of known DPTs (sometimes referred to as DPTs-I and DPTs-II) with the concept of…

Statistical Mechanics · Physics 2022-07-29 Ángel L. Corps , Armando Relaño

We performed quantum manipulations of the multi-level spin system S=5/2 of a Mn$^{2+}$ ion, by means of a two-tone pulse drive. The detuning between the excitation and readout radio frequency pulses allows one to select the number of…

Mesoscale and Nanoscale Physics · Physics 2015-10-29 S. Bertaina , M. Martens , M. Egels , D. Barakel , I. Chiorescu

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

Strongly Correlated Electrons · Physics 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin

We study the quantum entanglement and quantum phase transition (QPT) of the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction by means of quantum renormalization group method. The scaling of coupling…

Statistical Mechanics · Physics 2015-05-28 Fu-Wu Ma , Xiang-Mu Kong

We show that in the strong coupling linear regime, the dispersive opto-mechanical Hamiltonian system can undergo a Dicke-Hepp-Lieb superradiant phase transition with two critical points. The higher critical point is the usual second order…

Quantum Physics · Physics 2015-06-11 Aranya B Bhattacherjee

We study a cavity-QED setup consisting of a two-level system coupled to a single cavity mode with two-photon relaxation. The system dynamics is modeled via a Lindblad master equation consisting of the Rabi Hamiltonian and a two-photon…

Quantum Physics · Physics 2019-01-30 Moein Malekakhlagh , Alejandro W. Rodriguez

We investigate the possibility of a Dicke-type superradiant phase transition of an atomic gas with an extended model which takes into account the short-range depolarizing interactions between atoms approaching each other as close as the…

Quantum Physics · Physics 2016-09-13 Tobias Grießer , András Vukics , Peter Domokos

The dissipative phase transitions in the open transverse and longitudinal Dicke-Ising model (DIM), which incorporates nearest-neighbor Ising-type spin interactions into the Dicke framework, are investigated within a mean-field approach and…

Quantum Physics · Physics 2026-02-11 Jun-Ling Wang , Jiong Li , Qing-Hu Chen

We study the ground state phase diagram of a nonlinear two-photon Rabi-Hubbard (RH) model in one dimension using quantum Monte Carlo (QMC) simulations and density matrix renormalization group (DMRG) calculations. Our model includes a…

Quantum Gases · Physics 2020-09-30 Shifeng Cui , B. Grémaud , Wenan Guo , G. G. Batrouni

When mass-deformed ABJM theory is considered on S(3), the partition function of the theory localises and is given by a matrix model. We solve this model at large-N in the decompactification limit, where the radius of the three-sphere is…

High Energy Physics - Theory · Physics 2015-06-22 Louise Anderson , Konstantin Zarembo

Quantum multicritical points (QMCPs) emerge at the junction of two or more quantum phase transitions due to the interplay of disparate fluctuations, leading to novel universality classes. While quantum critical points have been well…

Disordered Systems and Neural Networks · Physics 2021-11-15 István A. Kovács

Tho-photon Rabi oscillations hold potential for quantum computing and quantum information processing, because during a Rabi cycle a pair of entangled photons may be created. We theoretically investigate the onset of this phenomenon in a…

Quantum Physics · Physics 2019-02-19 Bintoro S. Nugroho , Alexander A. Iskandar , Victor A. Malyshev , Jasper Knoester

We theoretically study an extension of the Dicke model, where the single-particle Hamiltonian has three energy levels in Lambda-configuration, i.e. the excited state is coupled to two non-degenerate ground states via two independent…

Quantum Physics · Physics 2011-12-09 Mathias Hayn , Clive Emary , Tobias Brandes

We study an array of coupled optical cavities in presence of two-photon driving and dissipation. The system displays a critical behavior similar to that of a quantum Ising model at finite temperature. Using the corner-space renormalization…

Quantum Physics · Physics 2019-03-22 Riccardo Rota , Fabrizio Minganti , Cristiano Ciuti , Vincenzo Savona

The driven Dicke model, with interesting quantum phases induced by parameterized driving, has been intensively studied in cavities, where permutation symmetry applies due to the atoms' equal coupling to the field and identical interaction.…

Quantum Physics · Physics 2024-10-10 Wenqi Tong , F. Robicheaux

Topological phase transitions can occur in the dissipative dynamics of a quantum system when the ratio of matrix elements for competing transport channels is varied. Here we establish a relation between such behavior in a class of…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 M. S. Rudner , L. S. Levitov

The Dicke model and Rabi model can undergo phase transitions from the normal phase to the superradiant phase at the same boundary, which can be accurately determined using some approximated approaches. The underlying mechanism for this…

Quantum Physics · Physics 2021-11-24 Wei-Feng Zhuang , Bin Geng , Hong-Gang Luo , Guang-Can Guo , Ming Gong
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