Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir

Woolley, Matthew J.; Clerk, Aashish A.

doi:10.1103/physreva.89.063805

Cited by 206 publications

(221 citation statements)

References 53 publications

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“…Together with the spurious mechanical parametric drive, the reservoir engineering technique produces more than 3 dB squeezing below the zero-point level. The present scheme can be applied to generate and characterize more complicated quantum states by carefully engineering the nonlinear interaction [32,33]. The ability to generate and measure a strong quantum squeezed state of a macroscopic mechanical object would be useful for ultrasensitive detection [3], quantum information processing [34], as well as fundamental study of quantum decoherence [35,36].…”

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confidence: 99%

Quantum Nondemolition Measurement of a Quantum Squeezed State Beyond the 3 dB Limit

et al. 2016

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We use a reservoir engineering technique based on two-tone driving to generate and stabilize a quantum squeezed state of a micron-scale mechanical oscillator in a microwave optomechanical system. Using an independent backaction-evading measurement to directly quantify the squeezing, we observe 4.7 AE 0.9 dB of squeezing below the zero-point level surpassing the 3 dB limit of standard parametric squeezing techniques. Our measurements also reveal evidence for an additional mechanical parametric effect. The interplay between this effect and the optomechanical interaction enhances the amount of squeezing obtained in the experiment. DOI: 10.1103/PhysRevLett.117.100801 Generating nonclassical states of a massive object has been a subject of considerable interest. It offers a route toward fundamental tests of quantum mechanics in an unexplored regime [1]. One of the most important and elementary quantum states of an oscillator is a squeezed state [2], which is a minimum uncertainty state that has a quadrature which is smaller than the zero-point level. Such states have long been discussed in the context of gravitational wave detection to improve the measurement sensitivity [3][4][5]. It is well known that a coherent parametric drive can be used to squeeze mechanical fluctuations [6,7], which is essentially equivalent to the technique first used to squeeze ground-state optical fields [8]. However, the maximum steady-state squeezing achieved by this method is limited to 3 dB due to the onset of parametric instability. Therefore, it is, in principle, impossible to have a steady state where the mechanical motion is squeezed below one half of the zero-point level using only parametric driving. These limitations may be overcome by combining continuous quantum measurement and feedback [9][10][11][12], but it would substantially increase the experimental complexity.Another method to generate a robust quantum state is quantum reservoir engineering [13], which has been used to generate quantum squeezed states and entanglement with trapped ions [14,15] and superconducting qubits [16]. It can also be applied to an optomechanical system to generate strong steady-state squeezing without quantumlimited measurement and feedback [17]. By modulating the optomechanical coupling with two imbalanced classical drive tones, the driven cavity acts effectively as a squeezed reservoir. When the engineered dissipation from the cavity dominates the dissipation from the environment, the mechanical resonator relaxes to a steady squeezed state. This technique has been applied recently to generate quantum squeezed states of macroscopic mechanical resonators [18][19][20].In addition to being a tool for state preparation, optomechanics also provides a means to probe the quantum behavior of macroscopic objects [21][22][23]. In particular, a backaction-evading (BAE) measurement [10,20,[24][25][26][27]] of a single motional quadrature can be implemented in an optomechanical system. If the drive tones that modulate the coupling are balanced, a continuou...

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confidence: 99%

Quantum Nondemolition Measurement of a Quantum Squeezed State Beyond the 3 dB Limit

et al. 2016

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“…This type of measurement allows one to measure both quadratures of a narrow-band force applied to one of the oscillators without any fundamental quantum limit [20]. Adding feedback control [20], or perturbing the measurement slightly (i.e., reservoir engineering) [21], such measurements could be used to generate steady-state entanglement between two macroscopic mechanical oscillators.…”

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confidence: 99%

Quantum Backaction Evading Measurement of Collective Mechanical Modes

Ockeloen-Korppi¹,

Damskägg²,

Pirkkalainen³

et al. 2016

Phys. Rev. Lett.

107

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The standard quantum limit constrains the precision of an oscillator position measurement. It arises from a balance between the imprecision and the quantum back-action of the measurement. However, a measurement of only a single quadrature of the oscillator can evade the back-action and be made with arbitrary precision. Here we demonstrate quantum back-action evading measurements of a collective quadrature of two mechanical oscillators, both coupled to a common microwave cavity. The work allows for quantum state tomography of two mechanical oscillators, and provides a foundation for macroscopic mechanical entanglement and force sensing beyond conventional quantum limits.

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“…Here we stress that both measures together, the fidelity and purity, give a signature of the effectiveness of our scheme. In fact, there is an infinite number of states that present the same fidelity regarding a given target state and the same is true for purity; thus both quantities are often used to corroborate each other [27]. We note that the master equation (2) for the case of degenerate symmetric networks contains only natural decay rates in the mode ω 1 [29], i.e., γ 1 = Nγ and γ j = 0.…”

Section: Steady Bell and Noon States In Two Nonideal Coupled Cavmentioning

confidence: 99%