Rapid Quantum Squeezing by Jumping the Harmonic Oscillator Frequency

Xin, Mingjie; Leong, Wui Seng; Chen, Zilong; Wang, Yu; Lan, Shau-Yu

doi:10.1103/physrevlett.127.183602

Cited by 21 publications

(9 citation statements)

References 35 publications

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“…Instead of a long dissipative evolution, strong mechanical squeezing can be also obtained in nonequilibrium processes, for example, via the rapid [22][23][24][25], periodic [26][27][28] or pulsed [29,30] modulations of the optical driving, and through the unstable multimode dynamics [31]. Different designs of optical driving structures can touch different goals, including ultra-precise measurements and state preparation, without other assistance or additional feedback.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Squeezing via Detuning-Switched Driving

Li¹,

Xu²,

Huang³

2023

Preprint

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Section: Introductionmentioning

confidence: 99%

Mechanical Squeezing via Detuning-Switched Driving

Li¹,

Xu²,

Huang³

2023

Preprint

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“…There exist theoretical protocols for squeezing maximization using optimized sudden frequency jumps providing an exponential increase in the squeezing of the motional state of trapped ions [20]. In the experimental front, demonstrations of this effect for the quantum motion of the center of mass of an ion in a Paul trap [2] or of neutral cold atoms trapped in an optical lattice [21] exist. However, it was recently shown that the speed of change in the frequency and its direction affects the squeezing [22]; that is, adiabatic changes produce no squeezing, while slow changes may produce more complex states.…”

Section: Introductionmentioning

confidence: 99%

Continuous-time quantum harmonic oscillator state engineering

García Herrera,

Torres-Leal,

Rodríguez-Lara

2023

New J. Phys.

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The center of mass motion of trapped ions and neutral atoms is suitable for approximation by a time-dependent driven quantum harmonic oscillator whose frequency and driving strength may be controlled with high precision. We show the time evolution for these systems with continuous differentiable time-dependent parameters in terms of the three basic operations provided by its underlying symmetry, rotation, displacement, and squeezing, using a Lie algebraic approach. Our factorization of the dynamics allows for the intuitive construction of protocols for state engineering, for example, creating and removing displacement and squeezing, as well as their combinations, optimizing squeezing, or more complex protocols that work for slow and fast rates of change in the oscillator parameters.

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“…Under such jumps (or any time dependence in the parameters), a classical oscillator in its ground state remains in the same state, whereas a quantum oscillator can become excited [ 35 ]. Moreover, the wave functions of quantum harmonic oscillators with time-dependent parameters describe squeezed states [ 5 , 9 , 42 ], For example, a sudden change in the oscillation frequency of

atoms in the vibrational fundamental state of a one-dimensional optical lattice generates squeezed states [ 43 ]. The description of squeezed states is relevant, for instance, in the implementation of schemes for noise minimization in quantum sensors, which increases their sensitivity (see, for instance, ref.…”

Section: Introductionmentioning

confidence: 99%

Exact Solution of a Time-Dependent Quantum Harmonic Oscillator with Two Frequency Jumps via the Lewis–Riesenfeld Dynamical Invariant Method

Coelho

Queiroz

Alves

2022

Entropy

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Harmonic oscillators with multiple abrupt jumps in their frequencies have been investigated by several authors during the last decades. We investigate the dynamics of a quantum harmonic oscillator with initial frequency ω0, which undergoes a sudden jump to a frequency ω1 and, after a certain time interval, suddenly returns to its initial frequency. Using the Lewis–Riesenfeld method of dynamical invariants, we present expressions for the mean energy value, the mean number of excitations, and the transition probabilities, considering the initial state different from the fundamental. We show that the mean energy of the oscillator, after the jumps, is equal or greater than the one before the jumps, even when ω1<ω0. We also show that, for particular values of the time interval between the jumps, the oscillator returns to the same initial state.

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Rapid Quantum Squeezing by Jumping the Harmonic Oscillator Frequency

Cited by 21 publications

References 35 publications

Mechanical Squeezing via Detuning-Switched Driving

Mechanical Squeezing via Detuning-Switched Driving

Continuous-time quantum harmonic oscillator state engineering

Exact Solution of a Time-Dependent Quantum Harmonic Oscillator with Two Frequency Jumps via the Lewis–Riesenfeld Dynamical Invariant Method

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