Cavity-QED simulation of qubit-oscillator dynamics in the ultrastrong-coupling regime

Grimsmo, Arne L.; Parkins, Scott

doi:10.1103/physreva.87.033814

Cited by 97 publications

(110 citation statements)

References 40 publications

(75 reference statements)

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“…Tunable open Rabi-Hubbard model.-Recently, several proposals to engineer effective light-matter interactions by suitable designed driving schemes have appeared [40][41][42][43], based on a variety of platforms including superconducting circuit QED, impurities in diamond, and ultracold atoms [4]. Here for concreteness we consider a lattice of coupled cavity-QED systems, where on each lattice site n there is a four-level system which is driven and coupled to a cavity mode (see Fig.…”

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confidence: 99%

Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model

et al. 2016

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We explore the phase diagram of the dissipative Rabi-Hubbard model, as could be realized by a Ramanpumping scheme applied to a coupled cavity array. There exist various exotic attractors, including ferroelectric, antiferroelectric, and incommensurate fixed points, as well as regions of persistent oscillations. Many of these features can be understood analytically by truncating to the two lowest lying states of the Rabi model on each site. We also show that these features survive beyond mean field, using matrix product operator simulations. DOI: 10.1103/PhysRevLett.116.143603 Introduction.-A number of recent experimental breakthroughs [1][2][3][4] have spurred the investigation of nonequilibrium properties of hybrid quantum many-body systems of interacting matter and light. Characterized by excitations with a finite lifetime, when sustained by finiteamplitude optical drives they display steady-state phases that are generally far richer [5][6][7][8][9][10] than their equilibrium counterparts [11,12]. Critical phenomena in these open driven-dissipative systems often come with genuinely new properties and novel dynamic universality classes, even when an effective temperature can be identified [13][14][15][16][17], a statement that can be made robust in renormalization group calculations [18,19]. Coupled cavity QED systems [20][21][22] have emerged as natural platforms to study many-body physics of open quantum systems. The current fabrication and control capabilities in solid-state quantum optics allows us to probe lattice systems [23][24][25][26][27][28][29][30][31] in the mesoscopic regime, providing a first glimpse into how macroscopic quantum behavior may arise far from equilibrium. It is therefore of interest to identify a physical system where a nonequilibrium phase transition (i) can be studied-at least in principle-in the thermodynamic limit, (ii) can be compared to an equilibrium analogue through a proper limiting procedure, and (iii) can be easily realized in an architecture that is currently available.The Rabi-Hubbard (RH) model [32] represents the minimal description of coupled cavity QED systems, explicitly containing terms which do not conserve the particle number. These terms are relevant for the lowfrequency behavior of the coupled system and their inclusion lead, in equilibrium, to a Z 2 -symmetry breaking phase transition between a quantum disordered paraelectric phase and an Ising ferroelectric [32,33]. The equilibrium RH transition requires a sizable intercavity hopping or light-matter interaction, of the order of the transition

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confidence: 99%

Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model

et al. 2016

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“…Suh et al [10] remark that a factor of 10 increase in λ should be possible by modifying the geometry. Other types of systems have come closer to achieving the required coupling strength [6,8,[12][13][14][15], and a number of proposals for reaching or simulating the ultrastrong and deep strong coupling regimes have recently appeared [55][56][57]. This is an area of active research, so further advances are to be expected in the near future.…”

Section: Experimental Prospectsmentioning

confidence: 99%

Oscillator tunneling dynamics in the Rabi model

Irish

Gea‐Banacloche

2014

Phys. Rev. B

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The familiar Rabi model, comprising a two-level system coupled to a quantum harmonic oscillator, continues to produce rich and surprising physics when the coupling strength becomes comparable to the individual subsystem frequencies. We construct approximate solutions for the eigenstates and energies in the regime in which the oscillator frequency is small compared to that of the two-level system and the coupling strength matches or exceeds the oscillator frequency. The resulting oscillator dynamics closely resembles that of a particle tunneling in a classical double-well potential. Relating our calculation to an earlier semiclassical approximation in which coupling to the two-level system creates an effective potential for the oscillator, we examine the extent to which this picture is valid. We find that, for certain parameter regimes, the interpretation of the oscillator dynamics in terms of tunneling holds to a good approximation despite the fundamentally entangled nature of the joint system. We assess the prospects for observation of oscillator tunneling in the context of nano-or micromechanical experiments and find that it should be possible if suitably high coupling strengths can be engineered.

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“…Here we propose an approach that can, in principle, prepare an arbitrary Dicke state as the steady state of a cavity QED system with a suitably engineered atomcavity interaction. In particular, this interaction is described by the so-called "generalized Dicke model", which may be engineered, in an optical cavity QED setting with alkali atoms, via laser-and cavity-driven Raman transitions between ground-state electronic sublevels of the atoms [48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Extreme spin squeezing in the steady state of a generalized Dicke model

Masson

Parkins

2019

Phys. Rev. A

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We present a scheme to generate steady-state atomic spin squeezing in a cavity QED system using cavity-mediated Raman transitions to engineer effective atom-photon interactions, which include both linear and nonlinear (dispersive) atom-cavity couplings, on a potentially equal footing. We focus on a regime where the dispersive coupling is very large and find that the steady state of the system can in fact be a strongly spin-squeezed Dicke state, |N/2, 0 , of the atomic ensemble. These states offer Heisenberg-limited metrological properties and feature genuine multipartite entanglement among the entire atomic ensemble.

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Cavity-QED simulation of qubit-oscillator dynamics in the ultrastrong-coupling regime

Cited by 97 publications

References 40 publications

Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model

Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model

Oscillator tunneling dynamics in the Rabi model

Extreme spin squeezing in the steady state of a generalized Dicke model

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