Photon shuttle: Landau-Zener-Stückelberg dynamics in an optomechanical system

Heinrich, Georg; Harris, Jack; Marquardt, Florian

doi:10.1103/physreva.81.011801

Cited by 68 publications

(102 citation statements)

References 23 publications

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“…Having the purpose of presenting and describing specific results for the multiphoton transitions, our consideration is limited to the Josephson-junction qubits. We note however that similar phenomena can be studied in different quantum objects, which can be described as two-or multi-level systems, such as quantum wires and dots [56][57][58][59][60], nitrogen vacancy centers in diamond [61,62], ultracold atoms [63][64][65], nanomechanical and optomechanical setups [66][67][68], electronic spin systems, two-dimensional electron gas, and graphene [69][70][71].…”

Section: Introductionmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the qubit energy levels and their populations and to read out the resonator's state, as well as the unavoidable dissipative environment. Such rich system is interesting both for the study of fundamental quantum phenomena on the mesoscopic scale and as a promising system for future electronic devices.We present recent results for the driven superconducting qubit -resonator system, where the resonator can be realized as an LC circuit or a nanomechanical resonator. Most of the results can be described by the semiclassical theory, where a qubit is treated as a quantum two-level system coupled to the classical driving field and the classical resonator. Application of this theory allows to describe many phenomena for the single and two coupled superconducting qubits, among which are the following: the equilibrium-state and weak-driving spectroscopy, Sisyphus damping and amplification, Landau-Zener-Stückelberg interferometry, the multiphoton transitions of both direct and ladder-type character, and creation of the inverse population for lasing. Contents

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Section: Introductionmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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“…A similar approach has been considered in Ref. [50]. A more rigorous derivation, starting from an ad hoc quantization of the photonic modes in the presence of a moving membrane, has been provided in Ref.…”

Section: A the Modelmentioning

confidence: 99%

Reservoir engineering and dynamical phase transitions in optomechanical arrays

et al. 2012

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We study the driven-dissipative dynamics of photons interacting with an array of micromechanical membranes in an optical cavity. Periodic membrane driving and phonon creation result in an effective photon-numberconserving nonunitary dynamics, which features a steady state with long-range photonic coherence. If the leakage of photons out of the cavity is counteracted by incoherent driving of the photonic modes, we show that the system undergoes a dynamical phase transition to the state with long-range coherence. A minimal system, composed of two micromechanical membranes in a cavity, is studied in detail, and it is shown to be a realistic setup where the key processes of the driven-dissipative dynamics can be seen.

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“…It has been found theoretically that QOC alone can be used to a back-actionless trapping [46] and cooling [25] of the mechanical mirror and also anticipated in exploring other quantum features such as mechanical squeezing [47], quantum jumps and quantization of mechanical energy [28], photon transport [48] etc. very effectively.…”

Section: Effect Of Qoc On Squeezing the Mechanical Motionmentioning

confidence: 99%

Squeezing of the mechanical motion and beating 3 dB limit using dispersive optomechanical interactions

Sainadh

Kumar

2016

Journal of Modern Optics

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We study an optomechanical system consisting of an optical cavity and movable mirror coupled through dispersive linear optomechanical coupling (LOC) and quadratic optomechanical coupling(QOC). We work in the resolved side band limit with a high quality factor mechanical oscillator in a strong coupling regime. We show that the presence of QOC in the conventional optomechanical system (with LOC alone) modifies the mechanical oscillator's frequency and reduces the back-action effects on mechanical oscillator. As a result of this the fluctuations in mechanical oscillator can be suppressed below standard quantum limit thereby squeeze the mechanical motion of resonator. We also show that either of the quadratures can be squeezed depending on the sign of the QOC. With detailed numerical calculations and analytical approximation we show that in such systems, the 3 dB limit can be beaten.

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Photon shuttle: Landau-Zener-Stückelberg dynamics in an optomechanical system

Cited by 68 publications

References 23 publications

Multiphoton transitions in Josephson-junction qubits (Review Article)

Multiphoton transitions in Josephson-junction qubits (Review Article)

Reservoir engineering and dynamical phase transitions in optomechanical arrays

Squeezing of the mechanical motion and beating 3 dB limit using dispersive optomechanical interactions

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