Time and history in quantum tunneling

Steinberg, Aephraim M.

doi:10.1006/spmi.1997.0543

Cited by 15 publications

(5 citation statements)

References 45 publications

(66 reference statements)

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“…Furthermore, the exponential dependence of the tunnelling rate on barrier height will be difficult to distinguish from the exponential tail of a thermal distribution at high energies. We will therefore follow the delta-kick with a velocityselection phase [25]. By using the same beam which is to form a tunnel barrier, but increasing the width to many microns, we will be able to "sweep" the lowest-energy atoms from the center of the magnetic trap off to the side, leaving the hotter atoms behind.…”

Section: The Atom Optics Experimentsmentioning

confidence: 99%

“…As discussed in [25], a number of these predictions are striking enough to merit experimental test. Summarized briefly, we predict that as defined by the outcome of a classically-conceived measurement, the time spent by a tunnelling particle near the middle of a barrier is exponentially small.…”

Section: Motivation: Interaction Times and Nonlocalitymentioning

confidence: 99%

“…In addition, extensions to dissipative interactions and questions related to irreversible measurements and the quantum-classical boundary are easy to envision. [25] We are working on an atom-optics experiment which will let us directly test these questions. We start with a sample of laser-cooled Rubidium atoms transferred from a magneto-optic trap (MOT) and optical molasses cooling phase to a magnetic trap at approximately 6 µK.…”

Section: The Atom Optics Experimentsmentioning

confidence: 99%

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An atom optics experiment to investigate faster-than-light tunneling

et al. 1998

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We describe a series of atom optics experiments underway a t T oronto for investigating tunnelling interaction times of various sorts. We begin by discussing some outstanding issues and confusions related to the question of whether or not superluminal tunnelling can be construed as true faster-than-light \signal propagation," a question which w e answer in the negative. We then argue that atom optics is an arena ideally suited for addressing a variety of remaining questions about how, where, and for how long a particle interacts with a tunnel barrier. We present recent results on a modied \delta-kick cooling" scheme which w e h a ve used to prepare Rubidium atoms with one-dimensional de Broglie wavelengths on the order of an optical wavelength, along with simulations showing that from these temperatures, we will be able to use acousto-optically modulated dipole-force barriers to velocity-select ultracold atom samples ideal for future tunnelling experiments.

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Section: The Atom Optics Experimentsmentioning

confidence: 99%

Section: Motivation: Interaction Times and Nonlocalitymentioning

confidence: 99%

Section: The Atom Optics Experimentsmentioning

confidence: 99%

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An atom optics experiment to investigate faster-than-light tunneling

et al. 1998

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“…In general, however, the tunneling rate (: tunneling power) is very small or the tunneling time is very long. Even in the case of resonant tunneling of electrons through hetero-structures [1], there is room for research on the tunneling time [2]. Therefore it is desirable to invent a protocol of accelerating the tunneling.…”

Section: Introductionmentioning

confidence: 99%

Scheme for accelerating quantum tunneling dynamics

Khujakulov

Nakamura

2016

Phys. Rev. A

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We propose a scheme of the exact fast-forwarding of standard quantum dynamics for a charged particle. The present idea allows the acceleration of both the amplitude and phase of the wave function throughout the fast-forward time range and is distinct from that of Masuda-Nakamura (e.g., Proc. R. Soc. A 466, 1135 (2010)) which enabled acceleration of only the amplitude of the wave function on the way. We shall apply the proposed method to the quantum tunneling phenomena and obtain the electro-magnetic field to ensure the rapid penetration of wave functions through a tunneling barrier. Typical examples described here are: 1) an exponential wave packet passing through the delta-function barrier; 2) the opened Moshinsky shutter with a delta-function barrier just behind the shutter. We elucidate the tunneling current in the vicinity of the barrier and find the remarkable enhancement of the tunneling rate (: tunneling power) due to the fastforwarding. In the case of a very high barrier, in particular, we present the asymptotic analysis and exhibit a suitable driving force to recover a recognizable tunneling current. The analysis is also carried out on the exact acceleration of macroscopic quantum tunneling with use of the nonlinear Schrödinger equation which accommodates a tunneling barrier .

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“…The condition of validity of the sudden approximation is T øh͞DH, where T ϵ t 1 2 t 0 is the switching time, H is the time average of the Hamiltonian during the interval ͑t 0 , t 1 ͒, and DH is calculated for the state of the system at t 0 [12]. The experiment may be implemented with ultracold atoms colliding with a potential barrier created by a laser beam [13,14]. The switching times (ϳ0.5 ms) and atomic velocities (ϳmm͞s) recently achieved would allow one to satisfy the above condition.…”

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confidence: 99%

Collisional Transitory Enhancement of the High Momentum Components of a Quantum Wave Packet

Brouard

Muga

1998

Phys. Rev. Lett.

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A classically forbidden, transitory enhancement of the high positive momentum components of a quantum wave packet during its collision with a potential barrier is described. A quantity is defined to measure its importance; the universality of the effect is justified, and its main features are studied with the aid of an analytically solvable model. Its relation to other "anomalously high velocities" is also examined. [S0031-9007(98)07182-8]

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Time and history in quantum tunneling

Cited by 15 publications

References 45 publications

An atom optics experiment to investigate faster-than-light tunneling

An atom optics experiment to investigate faster-than-light tunneling

Scheme for accelerating quantum tunneling dynamics

Collisional Transitory Enhancement of the High Momentum Components of a Quantum Wave Packet

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