Fast state and trap rotation of a particle in an anisotropic potential

Lizuain, I.; Tobalina, A.; Rodríguez-Prieto, A.; Muga, J. G.

doi:10.1088/1751-8121/ab4a2f

Cited by 16 publications

(12 citation statements)

References 33 publications

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“…] (this is an example of rotating traps [55][56][57]). Function ϕ(t) must satisfy the condition φ(0) = 0, due to the requirements b x (0) = b y (0) = ḃx (0) = ḃy (0) = 0.…”

Section: Examples and Numerical Estimationsmentioning

confidence: 99%

Excitation of a moving oscillator

Dodonov¹

2021

Preprint

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We calculate transition amplitudes and probabilities between the coherent and Fock states of a quantum harmonic oscillator with a moving center for an arbitrary law of motion. These quantities are determined by the Fourier transform of the moving center acceleration. In the case of a constant acceleration, the probabilities oscillate with the oscillator frequency, so that no excitation occurs after every period. Examples of oscillating and rotating motion of the harmonic trap center are considered too. Estimations show that the effect of excitation of vibration states due to the motion of the harmonic trap center can be observed in available atomic traps.

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“…] (this is an example of rotating traps [55][56][57]). Function ϕ(t) must satisfy the condition φ(0) = 0, due to the requirements b x (0) = b y (0) = ḃx (0) = ḃy (0) = 0.…”

Section: Examples and Numerical Estimationsmentioning

confidence: 99%

Excitation of a moving oscillator

Dodonov¹

2021

Preprint

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“…Equation ( 39) also contains a mode-coupling term H c , which could only be decoupled in a further transformation if ∆ was time-independent [39]. Thus we ignore it and accept that any protocol optimised in this way will display some degree of mode coupling in the presence of such a homogeneous field.…”

Section: Robustness Conditionmentioning

confidence: 99%

Robust dynamical exchange cooling with trapped ions

Sägesser,

Matt,

Oswald

et al. 2020

Preprint

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We investigate theoretically the possibility for robust and fast cooling of a trapped atomic ion by transient interaction with a pre-cooled ion. The transient coupling is achieved through dynamical control of the ions' equilibrium positions. To achieve short cooling times we make use of shortcuts to adiabaticity by applying invariant-based engineering. We design these to take account of imperfections such as stray fields, and trap frequency offsets. For settings appropriate to a currently operational trap in our laboratory, we find that robust performance could be achieved down to 6.3 motional cycles, comprising 14.2 µs for ions with a 0.44 MHz trap frequency. This is considerably faster than can be achieved using laser cooling in the weak coupling regime, which makes this an attractive scheme in the context of quantum computing.

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“…Motivated by the Makarov works [5,6], we address the problem of two harmonic oscillators connected via an angular momentum coupling type. As a matter of clarity, this kind of coupling term is extensively used in several studies, for instance trapping ions [17][18][19] and quantum invariant theory [20][21][22]. We digonalize the Hamiltonian by using three canonical transformations and give the Schmidt decomposition of the obtained stationary and non-stationary wavefunctions.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Non-Gaussian Entanglement of Two Magnetically Coupled Modes

Hab-arrih¹,

Jellal²,

Merdaci³

2021

Preprint

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This paper surveys the quantum entanglement of two coupled harmonic oscillators via angular momentum generating a magnetic coupling ω c . The corresponding Hamiltonian is diagonalized by using three canonical transformations and then the stationary wave function is obtained. Based on the Schmidt decomposition, we explicitly determine the Schmidt modes λ k with k ∈ {0, 1, • • • , n + m}, n and m being two quantum numbers associated to the two oscillators. By studying the effect of the anisotropy R = ω 2 1 /ω 2 2 , ω c , asymmetry |n − m| and dynamics on the entanglement, we summarize our results as follows. (i)− The entanglement becomes very large with the increase of (n, m). (ii)− The sensistivity to ω c depends on (n, m) and R. (iii)− The periodic revival of entanglement strongly depends on the physical parameters and quantum numbers.

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Fast state and trap rotation of a particle in an anisotropic potential

Cited by 16 publications

References 33 publications

Excitation of a moving oscillator

Excitation of a moving oscillator

Robust dynamical exchange cooling with trapped ions

Dynamics of Non-Gaussian Entanglement of Two Magnetically Coupled Modes

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