Quantum Simulation of the Ultrastrong-Coupling Dynamics in Circuit Quantum Electrodynamics

Ballester, D.; Romero, G.; García-Ripoll, Juan José; Deppe, Frank; Solano, E.

doi:10.1103/physrevx.2.021007

Cited by 164 publications

(197 citation statements)

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“…S4). Also, when the qubit drive is tuned close to the resonator frequency oEo r and when the driving amplitude g is large and equal to the frequency of the modulation g ¼ O, the system can be seen as a realization of a quantum simulator of the ultrastrong coupling regime 22,23 . In our set-up, the simulated coupling rate is estimated to reach over 10% of the effective resonator frequency (see Supplementary Note S3), comparable to earlier reports 24,25 where the ultrastrong coupling was obtained by sample design.…”

Section: Resultsmentioning

confidence: 99%

Motional averaging in a superconducting qubit

et al. 2013

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Superconducting circuits with Josephson junctions are promising candidates for developing future quantum technologies. Of particular interest is to use these circuits to study effects that typically occur in complex condensed-matter systems. Here we employ a superconducting quantum bit-a transmon-to perform an analogue simulation of motional averaging, a phenomenon initially observed in nuclear magnetic resonance spectroscopy. By modulating the flux bias of a transmon with controllable pseudo-random telegraph noise we create a stochastic jump of its energy level separation between two discrete values. When the jumping is faster than a dynamical threshold set by the frequency displacement of the levels, the initially separate spectral lines merge into a single, narrow, motional-averaged line. With sinusoidal modulation a complex pattern of additional sidebands is observed. We show that the modulated system remains quantum coherent, with modified transition frequencies, Rabi couplings, and dephasing rates. These results represent the first steps towards more advanced quantum simulations using artificial atoms.

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Section: Resultsmentioning

confidence: 99%

Motional averaging in a superconducting qubit

et al. 2013

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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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“…Furthermore, this method enables the study of noncausal kinematics and phenomena beyond special relativity in a quantum controllable system. [27,28], the quantum Rabi model in superconducting qubits [29], and relativistic quantum mechanics in circuit QED [30]. It is known that the computational power of a quantum simulator may overcome that of classical computers.…”

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confidence: 99%

“…They promise to revolutionize computing technologies allowing us to solve otherwise intractable problems with minimal experimental resources [2]. Several physical models have already been proposed for quantum simulations: quantum phase transitions [3], spin models [4][5][6][7][8][9], quantum chemistry [10,11], particle statistics including anyons [12,13], many-body systems with Rydberg atoms [14], quantum relativistic systems [15][16][17][18][19][20][21][22][23], interacting fermion [24] and fermion-boson [25,26] models, Majorana fermions [27,28], the quantum Rabi model in superconducting qubits [29], and relativistic quantum mechanics in circuit QED [30]. It is known that the computational power of a quantum simulator may overcome that of classical computers.…”

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confidence: 99%

Quantum Simulation of Noncausal Kinematic Transformations

Alvarez-Rodriguez

Casanova²,

Lamata³

et al. 2013

Phys. Rev. Lett.

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We propose the implementation of Galileo group symmetry operations or, in general, linear coordinate transformations, in a quantum simulator. With an appropriate encoding, unitary gates applied to our quantum system give rise to Galilean boosts or spatial and time parity operations in the simulated dynamics. This framework provides us with a flexible toolbox that enhances the versatility of quantum simulation theory, allowing the direct access to dynamical quantities that would otherwise require full tomography. Furthermore, this method enables the study of noncausal kinematics and phenomena beyond special relativity in a quantum controllable system. [27,28], the quantum Rabi model in superconducting qubits [29], and relativistic quantum mechanics in circuit QED [30]. It is known that the computational power of a quantum simulator may overcome that of classical computers. However, the set of operations that we can apply in the former is restricted compared with the versatility of the latter. For example, a wide set of unphysical but computable operations, while formally implementable with universal quantum computers, are not accessible to current quantum simulators.A quantum simulation can be seen as a process in which a quantum system is forced to behave according to a given mathematical model, closely reproducing its dynamics. At the same time, the simulator has a dynamics governed by the fundamental laws of nature. In this sense, we wonder whether quantum simulators may encode processes violating their internal operating rules. In Ref.[31], we gave a first example showing how to implement quantum simulations of phenomena beyond quantum physics. Consequently, a natural question arises: is it possible to simulate processes violating special relativity in a quantum device respecting it?In this Letter, we propose a formalism that allows the implementation of Galilean boosts and, in general, coordinate transformations, as spatial or time parity operations, at any evolution time of a quantum simulation. This is significant to increase the versatility of quantum simulators, enabling the change of reference frame in situ during an experiment. The ability of generating these computable operations allows us to obtain correlations between different reference frames. These correlations include, among others, relevant physical quantities as propagators and self-correlation functions, that would otherwise require full state tomography. Moreover, one could also test and analyze the ultimate limits of a quantum simulator, exploring the exciting possibility of implementing noncausal kinematics as, e.g., instantaneous translations or boosts in a controllable quantum platform. This kind of formalism may also give the capability to probe the boundary between physical and unphysical evolution. We will present the proposed method in the context of linear coordinate transformations, where the Galileo group is included. Moreover, this proposal also allows the implementation of nonlinear coordinate transformations, as is the case of...

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Quantum Simulation of the Ultrastrong-Coupling Dynamics in Circuit Quantum Electrodynamics

Cited by 164 publications

References 38 publications

Motional averaging in a superconducting qubit

Motional averaging in a superconducting qubit

Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model

Quantum Simulation of Noncausal Kinematic Transformations

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