Quasienergy collapse in the driven Jaynes–Cummings–Rabi model: correspondence with a charged Dirac particle in an electromagnetic field

Gutiérrez-Jáuregui, R.; Carmichael, H. J.

doi:10.1088/1402-4896/aad6fc

Cited by 14 publications

(16 citation statements)

References 21 publications

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“…The sample trajectory in frame (a) of Fig. 7 follows closely the average polarization σ(ε d /g) ≡ φ 0 |σ|φ 0 in the zero quasi-energy eigenstate |φ 0 (with dissipation a priori absent), which captures the symmetry breaking in alignment with the prediction of the neoclassical theory in the presence of (driving and) dissipation [23]. We also note that fluctuations intensify significantly prior to attaining the critical point, in contrast to the response of the √ n anharmonic oscillator, as we can observe in the imaginary part of the coherent-state amplitude of the resonant cavity mode, drawn in inset B.…”

Section: Symmetry Breaking and Critical Behaviormentioning

confidence: 58%

“…The quasi-energy spectrum at resonance depends on the drive amplitude, and collapses to zero at the critical point ε d = g/2. It can be extended to account for the JC-Rabi model, with an appropriate renormalization of the drive amplitude [22][23][24].…”

Section: Master Equation and The Neoclassical Scaling Lawmentioning

confidence: 99%

“…In [23], we read that "without dissipation, once the system is driven above the critical point, the field radiated by the two-level system is no longer strong enough to interfere destructively with the coherent drive." We build upon this remark in Fig.…”

Section: Symmetry Breaking and Critical Behaviormentioning

confidence: 99%

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Strong-coupling limit of the driven dissipative light-matter interaction

Mavrogordatos

2019

Phys. Rev. A

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We approach the strong-coupling thermodynamic limit in the response of the open driven Jaynes-Cummings (JC) oscillator. We do so by highlighting the rôle of quantum fluctuations against the semiclassical response in three distinct regimes of operation. We begin by demonstrating the persistence of photon blockade, predicted in [H. J. Carmichael, Phys. Rev. X 5, 031028 (2015)], as a manifestation of the inherently-quantum and nonlinear JC spectrum revealed for vanishing dissipation. We then proceed to discuss the importance of bistability, which, despite being present in photon blockade, is able to provide an alignment between the semiclassical nonlinearity and quantum dynamics only for a driving amplitude having the same order of magnitude as the lightmatter coupling strength. This resolution brings us to the critical point of the well-known quantum phase transition of second order on resonance, where the quantum and semiclassical pictures are once more contrasted for a varying participation of the two coherent interactions when going through the collapse of the quasi-energy spectrum.

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Section: Symmetry Breaking and Critical Behaviormentioning

confidence: 58%

Section: Master Equation and The Neoclassical Scaling Lawmentioning

confidence: 99%

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Strong-coupling limit of the driven dissipative light-matter interaction

Mavrogordatos

2019

Phys. Rev. A

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“…A toy model describing the conditioned states helps to clarify how the atomic state is conditioned to the values found in a particular heterodyne record. The model is based on intuition gathered from the analytic solutions of the driven Jaynes-Cummings model [58]. When the real part of the photo-current displays a positive value, the conditioned state can be expanded as a superposition of the states |ψ + REC = n c n (e iϕu |+, n,…”

Section: B Quantum Trajectory Theorymentioning

confidence: 99%

Masked states of an atom coupled to a standing-wave cavity mode

Gutiérrez-Jáuregui

2020

Phys. Rev. A

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The form of the eigenstates of an atom coupled to a cavity mode displaying a three dimensional periodic profile are obtained. It is shown that the quantized motion leads to degenerate states where the atomic degrees of freedom are masked, that is, upon detection of one component of this composite system the others remain in an entangled state. When the system is extended to include drive and dissipation it is found to undergo a dissipative quantum phase transition at a critical drive amplitude. Unlike other phase transitions reported in the literature, the degeneracy prepares the system in a superposition of incompatible states upon detection of the electromagnetic field. Probing the field hints at an order above the transition point that, due to state masking, allows for atomic coherence to survive at long times. *

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“…Here the QRM reduces to a (1 + 1)D Dirac equation [40][41][42][43] and yields an effective boson sector Hamiltonian,Ĥ…”

Section: Relativistic Regimementioning

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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Quasienergy collapse in the driven Jaynes–Cummings–Rabi model: correspondence with a charged Dirac particle in an electromagnetic field

Cited by 14 publications

References 21 publications

Strong-coupling limit of the driven dissipative light-matter interaction

Strong-coupling limit of the driven dissipative light-matter interaction

Masked states of an atom coupled to a standing-wave cavity mode

Squeezed displaced entangled states in the quantum Rabi model

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