Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap

Ding, Yongcheng; Huang, Tang-You; Paul, Koushik; Hao, Minjia; Chen, Xi

doi:10.1103/physreva.101.063410

Cited by 21 publications

(15 citation statements)

References 62 publications

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“…[ 53 ], and we check that the hypotheses of this theorem are fulfilled in Appendix A ). These kind of bang-bang optimal protocols arise in different physical situations [ 22 , 23 , 54 , 55 , 56 ]. In general, bang-bang protocols emerge as the optimal ones when Pontryagin’s Hamiltonian is linear in the controls—i.e., when the evolution equations are linear in the controls, although they may be non-linear in the relevant physical variables [ 30 , 57 , 58 , 59 ].…”

Section: Optimal Control In Linear Responsementioning

confidence: 99%

Optimal Control of Uniformly Heated Granular Fluids in Linear Response

Ruiz-Pino

Prados

2022

Entropy

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We present a detailed analytical investigation of the optimal control of uniformly heated granular gases in the linear regime. The intensity of the stochastic driving is therefore assumed to be bounded between two values that are close, which limits the possible values of the granular temperature to a correspondingly small interval. Specifically, we are interested in minimising the connection time between the non-equilibrium steady states (NESSs) for two different values of the granular temperature by controlling the time dependence of the driving intensity. The closeness of the initial and target NESSs make it possible to linearise the evolution equations and rigorously—from a mathematical point of view—prove that the optimal controls are of bang-bang type, with only one switching in the first Sonine approximation. We also look into the dependence of the optimal connection time on the bounds of the driving intensity. Moreover, the limits of validity of the linear regime are investigated.

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Section: Optimal Control In Linear Responsementioning

confidence: 99%

Optimal Control of Uniformly Heated Granular Fluids in Linear Response

Ruiz-Pino

Prados

2022

Entropy

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“…That is, δχ(t) is piece-wise continuous, taking either the value δχ max or δχ min and presenting, at most, one jump between these two values in the time window (0, t f ) [51]. This kind of bang-bang optimal protocols arise in different physical situations [18,19,[52][53][54]. In general, bang-bang protocols emerge as the optimal ones when Pontryagin's Hamiltonian is linear in the controlsi.e.…”

Section: Optimal Control In Linear Responsementioning

confidence: 99%

Optimal control of uniformly heated granular fluids in linear response

Ruiz-Pino,

Prados

2021

Preprint

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We present a detailed analytical investigation of the optimal control of uniformly heated granular gases in the linear regime. The intensity of the stochastic driving is therefore assumed to be bounded between two values that are close, which limits the possible values of the granular temperature to a correspondingly small interval. Specifically, we are interested in minimising the connection time between the non-equilibrium steady states (NESSs) for two different values of the granular temperature, by controlling the time dependence of the driving intensity. The closeness of the initial and target NESSs make it possible to linearise the evolution equations and rigorously-from a mathematical point of view-prove that the optimal controls are of bang-bang type, with only one switching in the first Sonine approximation. We also look into the dependence of the optimal connection time on the bounds of the driving intensity. Moreover, the limits of validity of the linear regime are investigated.

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“…Fast, nearly lossless, transport of cold neutral atoms [1][2][3][4][5][6][7][8][9][10] is of paramount interest for emerging quantum-technology applications [11] such as quantum sensing and interferometry [12,13]. It is also a prerequsite for neutral-atom quantum computing [14][15][16], as well as analog simulation [15] and quantum-state engineering in ensembles of Rydberg atoms [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Coherent atom transport via enhanced shortcuts to adiabaticity: Double-well optical lattice

Hauck,

Stojanovic

2021

Preprint

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Theoretical studies of coherent single-atom transport have as yet mainly been restricted to onedimensional model systems with harmonic trapping potentials. Here we investigate this important phenomenon -a prerequsite for a variety of quantum-technology applications based on cold neutral atoms -under much more complex physical circumstances. More specificially yet, we study fast single-atom transport in a moving double-well optical lattice, whose three-dimensional (anharmonic) potential is nonseparable in the x − y plane. We propose specific configurations of acousto-optic modulators that give rise to the moving-lattice effect in an arbitrary direction in this plane. We then determine moving-lattice trajectories that enable single-atom transport using two classes of quantum-control methods: shortcuts to adiabaticity (STA), here utilized in the form of inverse engineering based on a quadratic-in-momentum dynamical invariant of Lewis-Riesenfeld type, and their recently proposed modification termed enhanced STA (eSTA). Subsequently, we quantify the resulting single-atom dynamics by numerically solving the relevant time-dependent Schrödinger equations and compare the efficiency of STA-and eSTA-based transport by evaluating the respective fidelities. We show that -while STA enables somewhat faster transport for shallow lattices -eSTA outperforms it for larger lattice depths. The present work constitutes a large stride towards fully realistic modelling of single-atom transport in complex optically-trapped neutral-atom systems.

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Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap

Cited by 21 publications

References 62 publications

Optimal Control of Uniformly Heated Granular Fluids in Linear Response

Optimal Control of Uniformly Heated Granular Fluids in Linear Response

Optimal control of uniformly heated granular fluids in linear response

Coherent atom transport via enhanced shortcuts to adiabaticity: Double-well optical lattice

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