Cross-cavity quantum Rabi model

Alderete, C. Huerta; Rodríguez-Lara, B. M.

doi:10.1088/1751-8113/49/41/414001

Cited by 17 publications

(21 citation statements)

References 52 publications

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“…Indeed, almost any analogue of processes from nonlinear optics is feasible 71 ; this can be regarded as an example of quantum simulation 72 , 73 . Just like the analytical solution for the quantum Rabi model 74 is now being extended to multiple qubits 75 , 76 , and multiple resonators 77 – 79 , we here extend the exploration of non-excitation-conserving processes to multiple resonators.…”

Section: Introductionmentioning

confidence: 99%

Frequency conversion in ultrastrong cavity QED

Kockum

Macrì

Garziano

et al. 2017

Sci Rep

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We propose a new method for frequency conversion of photons which is both versatile and deterministic. We show that a system with two resonators ultrastrongly coupled to a single qubit can be used to realise both single- and multiphoton frequency-conversion processes. The conversion can be exquisitely controlled by tuning the qubit frequency to bring the desired frequency-conversion transitions on or off resonance. Considering recent experimental advances in ultrastrong coupling for circuit QED and other systems, we believe that our scheme can be implemented using available technology.

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Section: Introductionmentioning

confidence: 99%

Frequency conversion in ultrastrong cavity QED

Kockum

Macrì

Garziano

et al. 2017

Sci Rep

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“…This model is the two-phonon interaction analog of the so-called cross-cavity quantum Rabi model 25 that has been used to propose the quantum simulation of para-oscillators in trapped ions 26,27 . Single-mode, two-phonon interactions in trapped ions have been recently proposed to simulate interaction-induced spectral collapse 28 .…”

Section: Resultsmentioning

confidence: 99%

Engineering SU(1, 1) ⊗ SU(1, 1) vibrational states

Alderete

Rodrı́guez

Rodríguez-Lara

2019

Sci Rep

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We propose an ideal scheme for preparing vibrational SU(1, 1) ⊗ SU(1, 1) states in a two-dimensional ion trap using red and blue second sideband resolved driving of two orthogonal vibrational modes. Symmetric and asymmetric driving provide two regimes to realize quantum state engineering of the vibrational modes. In one regime, we show that time evolution synthesizes so-called SU(1, 1) Perelomov coherent states, that is separable squeezed states and their superposition too. The other regime allows engineering of lossless 50/50 SU(2) beam splitter states that are entangled states. These ideal dynamics are reversible, thus, the non-classical and entangled states produced by our schemes might be used as resources for interferometry.

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“…Generalizations that account for asymmetry between so-called rotating and counter-rotating terms as well as driving showed the existence of degeneracies in the spectrum [15]. Extension for more than one qubit [16][17][18][19][20] or field [21][22][23][24] have been constructed. The latter was used for the simulation of para-particles in trapped-ion setups [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Squeezed displaced entangled states in the quantum Rabi model

2019

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The quantum Rabi model accepts analytical solutions in the so-called degenerate qubit and relativistic regimes with discrete and continuous spectrum, in that order. We show that solutions are the superposition of even and odd displaced number states, in the former, and infinitely squeezed coherent states, in the latter, of the boson field correlated to the internal states of the qubit. We propose a single parameter model that interpolates between these discrete and continuous spectrum regimes to study the spectral statistics for first and second neighbor differences before the so-called spectral collapse. We find two central first neighbor differences that interweave and fluctuate keeping a constant second neighbor separation. *

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Cross-cavity quantum Rabi model

Cited by 17 publications

References 52 publications

Frequency conversion in ultrastrong cavity QED

Frequency conversion in ultrastrong cavity QED

Engineering SU(1, 1) ⊗ SU(1, 1) vibrational states

Squeezed displaced entangled states in the quantum Rabi model

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