Quantum Rabi Model with Trapped Ions

Pedernales, J. S.; Lizuain, I.; Felicetti, Simone; Romero, G.; Lamata, Lucas; Solano, E.

doi:10.1038/srep15472

Cited by 168 publications

(202 citation statements)

References 51 publications

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“…[19] to address the set of states j↓ð↑Þ; ni with the same parity ordered in ascending n. It is known that wave packets in the Fock space evolve within the same parity chains when in the USC or DSC regimes [19]. Recently, it has also been predicted that the ground states of the QRM in the USC or DSC regimes reveal the conservation of parity and the entanglement between spin and mode with large excitation numbers [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…The phenomenon of photon number wave packets bouncing back and forth along the parity chains [19] has been observed in a classical simulator of a photonic waveguide system [26] and in analog and digital quantum simulations in cQED systems [27,28]. However, the study of the ground state in DSC regime is still an open challenge [22].…”

Section: Introductionmentioning

confidence: 99%

“…We demonstrate the full controllability and tunability of the QRM in a single trapped-ion system as proposed in Ref. [22], which enable us to generate the exotic ground state in the DSC regime by the adiabatic transfer from the simple ground state of the JCM. Moreover, we apply the capability of the ground-state preparation to experimentally measure the energy spectrum of the QRM Hamiltonian Eq.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Simulation of the Quantum Rabi Model in a Trapped Ion

et al. 2018

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The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of natural light-matter processes, the richness of this model has been elusive in the lab. Here, we experimentally realize a quantum simulation of the quantum Rabi model in a single trapped ion, where the coupling strength between the simulated light mode and atom can be tuned at will. The versatility of the demonstrated quantum simulator enables us to experimentally explore the quantum Rabi model in detail, including a wide range of otherwise unaccessible phenomena, as those happening in the ultrastrong and deep strong-coupling regimes. In this sense, we are able to adiabatically generate the ground state of the quantum Rabi model in the deep strong-coupling regime, where we are able to detect the nontrivial entanglement between the bosonic field mode and the two-level system. Moreover, we observe the breakdown of the rotating-wave approximation when the coupling strength is increased, and the generation of phonon wave packets that bounce back and forth when the coupling reaches the deep strongcoupling regime. Finally, we also measure the energy spectrum of the quantum Rabi model in the ultrastrong-coupling regime.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum Simulation of the Quantum Rabi Model in a Trapped Ion

et al. 2018

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“…Indeed, the SPT has been observed in driven atomic systems which effectively reproduce the DM [25][26][27]. In general, driven atomic or solid state systems represent a powerful tool to access the USC regime of quantum optical models, both in few [28][29][30][31][32] and many-body physics [33,34]. In the USC regime, even * louis.garbe@ens-lyon.fr apparently simple models entail a very complex physics.…”

Section: Introductionmentioning

confidence: 99%

Superradiant phase transition in the ultrastrong-coupling regime of the two-photon Dicke model

et al. 2017

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The controllability of current quantum technologies allows to implement spin-boson models where two-photon couplings are the dominating terms of light-matter interaction. In this case, when the coupling strength becomes comparable with the characteristic frequencies, a spectral collapse can take place, i.e. the discrete system spectrum can collapse into a continuous band. Here, we analyze the thermodynamic limit of the two-photon Dicke model, which describes the interaction of an ensemble of qubits with a single bosonic mode. We find that there exists a parameter regime where two-photon interactions induce a superradiant phase transition, before the spectral collapse occurs. Furthermore, we extend the mean-field analysis by considering second-order quantum fluctuations terms, in order to analyze the low-energy spectrum and compare the critical behavior with the one-photon case.

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“…Recent experimental studies have shown that the ultrastrong coupling regime, where the coupling strength is some tenths of the mode frequency, can be achieved in a number of implementations such as superconducting circuits [1][2][3][4], semiconductor quantum wells [5][6][7], possibly also in surface acoustic waves [8] and trapped ions [9]. The fast-growing interest in the ultrastrong coupling regime is motivated not only by theoretical predictions of novel fundamental properties [10][11][12] but also by potential applications in quantum computing tasks [13,14].…”

Section: Introductionmentioning

confidence: 99%

Entanglement dynamics of the ultrastrong-coupling three-qubit Dicke model

2016

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We give an analytical description of the dynamics of the three-qubit Dicke model using the adiabatic approximation in the parameter regime where the qubits transition frequencies are far off-resonance with the field frequency and the interaction strengths reach the ultra-strong coupling regimes. Qualitative differences arise when comparing to the single-and two-qubit systems -simple analytic formulas show that three revival sequences produce a three-frequency beat note in the time evolution of the population. We find an explicit way to estimate the dynamics for the qubit-field and qubit-qubit entanglement inside the three-qubit system in the ultra strong coupling regime, and the resistance to the sudden death proves the robustness of the GHZ state.

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Quantum Rabi Model with Trapped Ions

Cited by 168 publications

References 51 publications

Quantum Simulation of the Quantum Rabi Model in a Trapped Ion

Quantum Simulation of the Quantum Rabi Model in a Trapped Ion

Superradiant phase transition in the ultrastrong-coupling regime of the two-photon Dicke model

Entanglement dynamics of the ultrastrong-coupling three-qubit Dicke model

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