Need for relativistic corrections in the analysis of spatial adiabatic passage of matter waves

Benseny, Albert; Bagudà, Joan; Oriols, X.; Mompart, J.

doi:10.1103/physreva.85.053619

Cited by 16 publications

(24 citation statements)

References 14 publications

(16 reference statements)

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“…To sum up, in ultracold atom physics, Bohmian trajectories have been used to get physical insight into the adiabatic transport of single atoms, Bose-Einstein condensates, and holes in triple well potentials [27,34]. One can foresee that future research in this field would be focused on applying Bohmian algorithms for mesoscopic systems [35] to the dynamics of a few cold atoms.…”

Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

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Applied Bohmian mechanics

et al. 2014

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Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard quantum theories have different formalisms, both give exactly the same predictions for all phenomena. Fifteen years ago, the quantum chemistry community began to study the practical usefulness of Bohmian mechanics. Since then, the scientific community has mainly applied it to study the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectorybased explanation of complicated quantum phenomena. Here we present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for this kind of problems (where the Bohmian and the quantum hydrodynamic formalisms coincide). In addition, this work also emphasizes that the Bohmian formalism can be a useful tool in other types of (nonunitary and nonlinear) quantum problems where the influence of the environment or the nonsimulated degrees of freedom are relevant. This review contains also examples on the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. The ability of the Bohmian formalism to analyze this last type of problems for (open) quantum systems remains mainly unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory among the scientific community will be greatly influenced by its potential success in those types of problems that present nonunitary and/or nonlinear quantum evolutions. A brief introduction of the Bohmian formalism and some of its extensions are presented in the last part of this review.

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Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

“…In ultracold atom physics, Bohmian mechanics has been applied to investigate the adiabatic transport of a single atom between the outermost traps of a system formed by three identical traps [27], see Fig. 1(a).…”

Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

Applied Bohmian mechanics

et al. 2014

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“…If the phase of the diagonal lattice is shifted, band gaps become large and the Dirac cone disappears. Shown is the case of ψ = (1/2 + 0.11)π and s = [ (8,8), (8,8), 14], which is used in Fig. 2 (a).…”

Section: Fig 1 (A) a λ-Type Three Level System And A Lieb Lattcementioning

confidence: 99%

“…As long as E B = E C is maintained, the dark state persists and STIRAP can be accomplished. We adiabatically sweep the lattice depths toward another limiting configuration [(3.8, 38.9), (8,8), 14], passing through the intermediate point [ (8,8), (8,8), 14] corresponding to the potential shown in Fig. 1 (c).…”

Section: Spatial Adiabatic Passagementioning

confidence: 99%

Spatial adiabatic passage of massive quantum particles in an optical Lieb lattice

et al. 2020

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By adiabatically manipulating tunneling amplitudes of cold atoms in a periodic potential with a multiple sublattice structure, we are able to coherently transfer atoms from a sublattice to another without populating the intermediate sublattice, which can be regarded as a spatial analogue of stimulated Raman adiabatic passage. A key is the existence of dark eigenstates forming a flat band in a Lieb-type optical lattice. We also successfully observe a matter-wave analogue of Autler-Townes doublet using the same setup. This work shed light on a novel kind of coherent control of cold atoms in optical potentials.Interference of probability amplitudes is one of the most significant properties of quantum mechanics. In the seminal work of an electron double-slit experiment [1], building up of the interference pattern of electron wave function beautifully demonstrated nature of waveparticle duality. Quantum interference has been intensively utilized especially in the field of precision measurement such as superconducting magnetometer [2] and atom interferometry [3], and also lies at the heart of quantum information science.A three-level system is a minimal example in which quantum interference takes place. Most commonly it is considered in a context of laser coupled atomic levels, and the Hamiltonian for a Λ-type system (Fig. 1 (a)) in a rotating frame is written in the formwhere Ω 1 (Ω 2 ) denotes a laser-induced Rabi frequency which couples basis states |A with |B (|A with |C ), and δ 1 (δ 2 ) is the detuning of the corresponding laser 1 (2). A dark state cos θ|B − sin θ|C (tan θ = Ω 1 /Ω 2 ) arises as one of the eigenstate of the Hamiltonian given by Eq.(1) if the Raman resonant condition δ 1 = δ 2 is satisfied. By applying two laser pulses in so-called "counter-intuitive" order so that θ changes form 0 to π/2, the dark states smoothly evolve from |B into |C . This process is well known as Stimulated Raman Adiabatic Passage (STIRAP) [4][5][6], and has been an important technique for robust population transfer between two atomic/molecular states. Natural interests arise for a special case that the states of interest represent a matter wave of a quantum particle and the initial and the final states are spatially well isolated. Such processes, named spatial adiabatic passage (SAP), offer paradoxical "transport without transit" [7,8] where matter waves are transported without populating the intermediate spatial region. Since the concept of SAP was introduced in the context of quantum * Electronic address: taie@scphys.kyoto-u.ac.jp FIG.

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“…In this work, we address the mechanism of enhanced ionization using Bohmian trajectories [16][17][18][19][20][21][22], which can visualize the probability current and have been applied to various fields such as strong field physics [23][24][25][26] and relativistic phenomena [27]. The Bohmian trajectories are obtained by substituting the polar-form wave function…”

Section: Bohmian Trajectoriesmentioning

confidence: 99%

Analysis of strong-field enhanced ionization of molecules using Bohmian trajectories

Sawada¹,

Sato²,

Ishikawa³

2014

Phys. Rev. A

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We theoretically investigate the mechanism of enhanced ionization in two-electron molecules by analyzing Bohmian trajectories for a one-dimensional H 2 in an intense laser field. We identify both types of ionizing trajectories corresponding to the ejection from the up-field and down-field cores. The trajectories of the two electrons are correlated with each other in the former, while correlation is negligible in the latter. The contributions from the two ionization types, though dependent on laser intensity and internuclear distance, are comparable to each other.

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Need for relativistic corrections in the analysis of spatial adiabatic passage of matter waves

Cited by 16 publications

References 14 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

Spatial adiabatic passage of massive quantum particles in an optical Lieb lattice

Analysis of strong-field enhanced ionization of molecules using Bohmian trajectories

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