Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator

Zhirov, O. V.; Shepelyansky, Dima L.

doi:10.1103/physrevlett.100.014101

Cited by 87 publications

(89 citation statements)

References 35 publications

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“…As a final remark, classical treatment of the vibrational mode adopted in the present paper does not allow one to capture the quantum jumps 17 between the stable regimes of collective motion of the two-level system coupled to the oscillator. We also did not consider the effect of thermal noise which leads to the activated switching 24 between the steady regimes even within a classical description of the oscillator.…”

Section: Discussionmentioning

confidence: 95%

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Rabi-vibronic resonance with large number of vibrational quanta

Glenn

Raǐkh

2011

Phys. Rev. B

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We study theoretically the Rabi oscillations of a resonantly driven two-level system linearly coupled to a harmonic oscillator (vibrational mode) with frequency, ω0. We show that for weak coupling, ωp ω0, where ωp is the polaronic shift, Rabi oscillations are strongly modified in the vicinity of the Rabi-vibronic resonance ΩR = ω0, where ΩR is the Rabi frequency. The width of the resonance is (ΩR − ω0) ∼ ω 2/3 p ω 1/3 0 ωp. Within this domain of ΩR the actual frequency of the Rabi oscillations exhibits a bistable behavior as a function of ΩR. Importantly, within the resonant domain, the oscillator is highly excited, which allows to treat it classically.

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Section: Discussionmentioning

confidence: 95%

“…A notable finding of Refs. [15][16][17] is that, in the vicinity of the condition ω 0 ≈ Ω R , collective Rabivibronic motion becomes bistable.…”

Section: Figmentioning

confidence: 99%

Rabi-vibronic resonance with large number of vibrational quanta

Glenn

Raǐkh

2011

Phys. Rev. B

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“…Synchronization has also been studied in quantum optical systems such as the laser, although generally focussing on regimes where approximate semiclassical descriptions work well [2,3]. In the last few years there has been considerable interest in studying the synchronization of oscillators and related systems [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] close to threshold or at low excitation levels where semiclassical approaches break down and fully quantum mechanical calculations are required. Recent theoretical work has explored different ways of quantifying synchronization in quantum oscillators [5,7,14,15,20], as well as investigating the connection between it and measures of correlation such as mutual information and entanglement [5,8,10,15,19].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of micromasers

Davis-Tilley

Armour

2016

Phys. Rev. A

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We investigate synchronization effects in quantum self-sustained oscillators theoretically using the micromaser as a model system. We use the probability distribution for the relative phase as a tool for quantifying the emergence of preferred phases when two micromasers are coupled together. Using perturbation theory, we show that the behavior of the phase distribution is strongly dependent on exactly how the oscillators are coupled. In the quantum regime where photon occupation numbers are low we find that although synchronization effects are rather weak, they are nevertheless significantly stronger than expected from a semiclassical description of the phase dynamics. We also compare the behavior of the phase distribution with the mutual information of the two oscillators and show that they can behave in rather different ways.

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“…Small systems have been considered, e.g., one qubit [14] and two qubits [15] coupled to a quantum dissipative driven oscillator, two dissipative spins [16], two coupled cavities [17], and two micromechanical oscillators [18,19]. Connections between quantum entanglement and synchronization have been revealed in continuous variable systems [19].…”

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confidence: 99%

Synchronization of Two Ensembles of Atoms

Xu¹,

Tieri²,

Fine³

et al. 2014

Phys. Rev. Lett.

201

206

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We propose a system for observing the correlated phase dynamics of two mesoscopic ensembles of atoms through their collective coupling to an optical cavity. We find a dynamical quantum phase transition induced by pump noise and cavity output-coupling. The spectral properties of the superradiant light emitted from the cavity show that at a critical pump rate the system undergoes a transition from the independent behavior of two disparate oscillators to the phase-locking that is the signature of quantum synchronization. PACS numbers: 05.45.Xt, 42.50.Lc, 37.30.+i, 64.60.Ht Synchronization is an emergent phenomenon that describes coupled objects spontaneously phase-locking to a common frequency in spite of differences in their natural frequencies [1]. It was famously observed by Huygens, the seventeenth century clock maker, in the antiphase synchronization of two maritime pendulum clocks [2]. Dynamical synchronization is now recognized as ubiquitous behavior occurring in a broad range of physical, chemical, biological, and mechanical engineering systems [1,3,4].Theoretical treatments of this phenomenon are often based on the study of phase models [5,6], and as such have been applied to an abundant variety of classical systems, including the collective blinking of fireflies, the beating of heart cells, and audience clapping. The concept can be readily extended to systems with an intrinsic quantum mechanical origin such as nanomechanical resonators [7,8], optomechanical arrays [9], and Josephson junctions [10,11]. When the number of coupled oscillators is large, it has been demonstrated that the onset of classical synchronization is analogous to a thermodynamic phase transition [12] and exhibits similar scaling behavior [13].Recently, there has been increasing interest in exploring manifestations in the quantum realm. Small systems have been considered, e.g., one qubit [14] and two qubits [15] coupled to a quantum dissipative driven oscillator, two dissipative spins [16], two coupled cavities [17], and two micromechanical oscillators [18,19]. Connections between quantum entanglement and synchronization have been revealed in continuous variable systems [19]. It has been shown that quantum synchronization may be achieved between two canonically conjugate variables [20]. Since the phenomenon is inherently non-equilibrium, all of these systems share the common property of competition between coherent and incoherent driving and dissipative forces.In this paper, we propose a modern-day realization of the original Huygens experiment [2]. We consider the synchronization of two active atomic clocks coupled to a common single-mode optical cavity. It has been predicted that in the regime of steady-state superradiance [21-24] a neutral atom lattice clock could produce an ultracoherent optical field with a quality factor (ratio of frequency to linewidth) that approaches 10 18 . We show that two such clocks may exhibit a dynamical phase transition [26][27][28][29] from two disparate oscillators to quantum phase-locked dynamics. ...

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Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator

Cited by 87 publications

References 35 publications

Rabi-vibronic resonance with large number of vibrational quanta

Rabi-vibronic resonance with large number of vibrational quanta

Synchronization of micromasers

Synchronization of Two Ensembles of Atoms

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