Dynamical polaron<i>Ansatz</i>: A theoretical tool for the ultrastrong-coupling regime of circuit QED

Díaz-Camacho, Guillermo; Bermúdez, A.; García-Ripoll, Juan José

doi:10.1103/physreva.93.043843

Cited by 58 publications

(91 citation statements)

References 70 publications

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“…In our case the system dynamics have changed from an atom coupled directly to a transmission line, to an atom coupled to a cavity, which in turn is coupled to a transmission line. The two resulting dressed resonances are not ultra strongly coupled to the environment, and have a FWHM less than 10%, which is predicted to be the limit at which the effects of the USC appears [31,33,34].…”

Section: Idt As a Cavitymentioning

confidence: 96%

Cavity-free vacuum-Rabi splitting in circuit quantum acoustodynamics

et al. 2019

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Artificial atoms coupled to surface acoustic waves (SAWs) have played a crucial role in the recent development of circuit quantum acoustodynamics (cQAD). In this paper, we have investigated the interaction of an artificial atom and SAWs beyond the weak coupling regime, focusing on the role of the interdigital transducer (IDT) that enables the coupling. We find a parameter regime in which the IDT acts as a cavity for the atom, rather than an antenna. In other words, the atom forms its own cavity. Similar to an atom coupled to an explicit cavity, this regime is characterized by vacuum-Rabi splitting, as the atom hybridizes with the phononic vacuum inside the IDT. This hybridization is possible because of the interdigitated coupling, which has a large spatial extension, and the slow propagation speed of SAWs. We work out a criterion for entering this regime from a model based on standard circuit-quantization techniques, taking only material parameters as inputs. Most notably, we find this regime hard to avoid for an atom on top of a strong piezoelectric material, such as LiNbO3. The SAW-coupled atom on top of LiNbO3 can thus be regarded as an atom-cavity-bath system. On weaker piezoelectric materials, the number of IDT electrodes need to be large in order to reach this regime. arXiv:1811.09421v1 [quant-ph]

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Section: Idt As a Cavitymentioning

confidence: 96%

Cavity-free vacuum-Rabi splitting in circuit quantum acoustodynamics

et al. 2019

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“…[29] introduces a model of spins coupled to photons which are exchanged at all distances and where the photon band is flat, which is a key difference with the model we address here. Another interesting class of models is that where the band is not flat and where, in addition, spinphoton coupling is mode dependent and chosen to lead to an Ohmic spectral density at low enough frequencies [30]. These models can also be studied with the QMC algorithm we use in this paper.…”

Section: Introductionmentioning

confidence: 99%

Quantum Monte Carlo study of the Rabi-Hubbard model

Flottat¹,

Hébert²,

Rousseau

et al. 2016

Eur. Phys. J. D

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We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of a one dimensional Rabi-Hubbard model. The model consists of a lattice of Rabi systems coupled by a photon hopping term between near neighbor sites. For large enough coupling between photons and atoms, the phase diagram generally consists of only two phases: a coherent phase and a compressible incoherent one separated by a quantum phase transition (QPT). We show that, as one goes deeper in the coherent phase, the system becomes unstable exhibiting a divergence of the number of photons. The Mott phases which are present in the Jaynes-Cummings-Hubbard model are not observed in these cases due to the presence of non-negligible counter-rotating terms. We show that these two models become equivalent only when the detuning is negative and large enough, or if the counterrotating terms are small enough.

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“…In this case, the enhanced light-matter interaction allows reaching the ultrastrong coupling regime to the continuum [29] and we can no longer apply the Markov approximations. However, rather simple generalizations of our treatment based on the polaron transformation [30,31] shows that we still recover spin-spin interactions, but now they become of Ising type. This opens the door to simulating other types of dissipative phase transitions [32][33][34][35], but also opens questions regarding the quantum complexity of Ising models and their time evolution.…”

Section: Discussionmentioning

confidence: 99%

Quantum simulation with a boson sampling circuit

et al. 2016

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In this work we study a system that consists of 2M matter qubits that interact through a boson sampling circuit, i.e., an M -port interferometer, embedded in two different architectures. We prove that, under the conditions required to derive a master equation, the qubits evolve according to effective bipartite XY spin Hamiltonians, with or without local and collective dissipation terms. This opens the door to the simulation of any bipartite spin or hard-core boson models and exploring dissipative phase transitions as the competition between coherent and incoherent exchange of excitations. We also show that in the purely dissipative regime this model has a large number of exact and approximate dark states, whose structure and decay rates can be estimated analytically. We finally argue that this system may be used for the adiabatic preparation of boson sampling states encoded in the matter qubits.

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Dynamical polaronAnsatz: A theoretical tool for the ultrastrong-coupling regime of circuit QED

Cited by 58 publications

References 70 publications

Cavity-free vacuum-Rabi splitting in circuit quantum acoustodynamics

Cavity-free vacuum-Rabi splitting in circuit quantum acoustodynamics

Quantum Monte Carlo study of the Rabi-Hubbard model

Quantum simulation with a boson sampling circuit

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