Photon-induced sideband transitions in a many-body Landau-Zener process

We investigate ways to optimize adiabaticity and diabaticity in the Landau-Zener model with non-uniform sweeps. We show how diabaticity can be engineered with a pulse consisting of a linear sweep augmented by an oscillating term. We show that the oscillation leads to jumps in populations whose value can be accurately modeled using a model of multiple, photon-assisted Landau-Zener transitions, which generalizes work by Wubs et al. [New J. Phys. 7, 218 (2005)]. We extend the study on diabaticity using methods derived from optimal control. We also show how to preserve adiabaticity with optimal pulses at limited time, finding a non-uniform quantum speed limit

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“…A similar system has been studied in Refs. [46,47]. We investigate how such a pulse can be used to engineer diabaticity.…”

mentioning

confidence: 99%

Engineering adiabaticity at an avoided crossing with optimal control

et al. 2015

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“…By applying the LZ formula to each avoided crossing, the sequential LZ transitions can be regarded as a sequence of two-level LZ transitions. Consequently, the dynamic probabilities of finding the system in the instantaneous ground state after each anticrossing are given as [70]…”

Section: Linear Quenchmentioning

confidence: 99%

“…We consider a periodic quench in which the asymmetry is periodically modulated in time: δ(t) = μ sin(ωt), where μ is the modulation amplitude, and ω is the modulation Fig. 8 (a frequency [70,72,73]. The Hamiltonian is as follows:…”

Section: Periodic Quenchmentioning

confidence: 99%

Dynamic fragmentation in a quenched two-mode Bose–Einstein condensate

Zhong

Huang

et al. 2015

Front. Phys.

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We investigate the fragmentation in a two-mode Bose-Einstein condensate with Josephson coupling. We explore how the fragmentation and entropy of the ground state depend on the intermode asymmetry and interparticle interactions. Owing to the interplay between the asymmetry and the interactions, a sequence of notches and plateaus in the fragmentation appears with the single-atom tunneling and interaction blockade, respectively. We then analyze the dynamical properties of the fragmentation in three typical quenches of the asymmetry: linear, sudden, and periodic quenches. In a linear quench, the final state is a fragmented state due to the sequential Landau-Zener tunneling, which can be analytically explained by applying the two-level Landau-Zener formula for each avoided level crossing. In a sudden quench, the fragmentation exhibits persistent fluctuations that sensitively depend on the interparticle interactions and intermode coupling. In a periodic quench, the fragmentation is modulated by the periodic driving, and a suitable modulation may allow one to control the fragmentation.

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“…The paradigmatic example being the LZ model in which the diabatic energy levels cross each other linearly in time [1,2]. The latter had been generalized to both multi-level systems [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and many-body setups [19][20][21][22][23][24][25][26][27]. If driven periodically across an avoided level crossing, the separate LZTs interfere, leading to Landau-Zener-Stückelberg (LZS) interferometry [28].…”

Section: Introductionmentioning

confidence: 99%

Landau-Zener transitions and adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning

Niranjan

Nath

2020

Phys. Rev. A

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We study the Landau-Zener (LZ) dynamics in a setup of two Rydberg atoms with time-dependent detuning, both linear and periodic, using both the exact numerical calculations as well as the method of adiabatic impulse approximation (AIA). By varying the Rydberg-Rydberg interaction strengths, the system can emulate different three-level LZ models, for instance, bow-tie and triangular LZ models. The LZ dynamics exhibits non-trivial dependence on the initial state, the quench rate, and the interaction strengths. For large interaction strengths, the dynamics is well captured by AIA. In the end, we analyze the periodically driven case, and AIA reveals a rich phase structure involved in the dynamics. The latter may find applications in quantum state preparation, quantum phase gates, and atom interferometry.

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Photon-induced sideband transitions in a many-body Landau-Zener process

Cited by 10 publications

References 40 publications

Engineering adiabaticity at an avoided crossing with optimal control

Engineering adiabaticity at an avoided crossing with optimal control

Dynamic fragmentation in a quenched two-mode Bose–Einstein condensate

Landau-Zener transitions and adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning

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