Matter-wave optics in the time domain: Results of a cold-neutron experiment

Hils, Th.; Felber, J.; Gähler, R.; Gläser, W.; Golub, R.; Habicht, K.; Wille, P.

doi:10.1103/physreva.58.4784

Cited by 77 publications

(42 citation statements)

References 19 publications

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“…Among all, phase time [2,6,7] is widely studied and well established, which measures how long it takes for the peak of the transmitted wave packet to emerge from the exit of the barrier. It is related to the energy derivative of the phase shift, and has been studied using numerical, experimental, and analytical methods [5,[8][9][10][11][12][13][14][15], in quite detail.…”

Section: Introductionmentioning

confidence: 99%

Effects of detuning on tunneling and traversal of ultracold atoms through vacuum-induced potentials

et al. 2013

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In this paper, we study the tunneling and traversal of ultracold two-level atoms through the potential induced by the vacuum cavity mode. In particular, we discuss the effects of off-resonant interaction between the cavity mode and atomic transition on tunneling time of the ultracold atoms through a high-Q mazer cavity. The phase time which may be considered as an appropriate measure of the time required for the atom to cross the cavity, exhibits some interesting features in the presence of off-resonant interaction. For example, switching between the sub and superclassical behaviors in phase time occurs for proper choice of detuning. Similarly, negative phase time appears for the transmission of atoms in both excited and ground states in the presence of off-resonant interaction.

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Section: Introductionmentioning

confidence: 99%

Effects of detuning on tunneling and traversal of ultracold atoms through vacuum-induced potentials

et al. 2013

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“…By opening the shutter at a time t = 0, the quantum state evolves freely in space, and the probability density in the time-domain exhibits a distinctive oscillatory pattern known as diffraction in time [3,4], analogous to the intensity profile of a light beam diffracted by a semi-infinite plane. The time-diffraction effect was verified decades later in experiments using ultracold atoms [5], cold-neutrons [6], and atomic Bose-Einstein condensates [7]. The quantum-shutter problem has allowed to translate spatial features of light optics to the time-domain of matter-waves in experiments with atoms that exhibit diffraction and interference [5,8], as well as phase modulation [9,10] and quantum beat phenomena [10].…”

Section: Introductionmentioning

confidence: 99%

Transient quantum beats, Rabi oscillations, and delay time of modulated matter waves

Villavicencio

Hernández-Maldonado²

2020

Phys. Rev. A

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Transient phenomena of phase modulated cut-off wavepackets are explored by deriving an exact general solution to Schrödinger's equation for finite range potentials involving arbitrary initial quantum states. We show that the dynamical features of the probability density are governed by a virtual self-induced two-level system with energies E+, and E−, due to the phase modulation of the initial state. The asymptotic probability density exhibits Rabi-oscillations characterized by a frequency Ω = (E+ − E−)/h, which are independent of the potential profile. It is also found that for a system with a bound state, the interplay between the virtual levels with the latter causes a quantum beat effect with a beating frequency, Ω. We also find a regime characterized by a time-diffraction phenomenon that allows to measure unambiguously the delay-time, which can be described by an exact analytical formula. It is found that the delay-time agrees with the phase-time only for the case of strictly monochromatic waves.

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“…The mirror and particle have non-zero rest mass and motion is in free space along one dimension, with all states unbound. Measurements of particle reflection, but not associated with correlated interference, have involved mirrors that reflect atoms [9] and Bose-Einstein condensates [10], atoms reflecting from a solid surface [11], neutrons [12] and atoms [13] reflecting from vibrating mirrors, and atoms reflecting from a switchable mirror [14].…”

Section: Introductionmentioning

confidence: 99%

Two-Particle Asynchronous Quantum Correlation: Wavefunction Collapse Acting as a Beamsplitter

Kowalski

Browne

2015

Found Phys

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A two-body quantum correlation is calculated for a particle reflecting from a moving mirror. Correlated interference results when the incident and reflected particle substates and their associated mirror substates overlap. Using the Copenhagen interpretation of measurement, an asynchronous joint probability density (PDF), which is a function both of the different positions and different times at which the particle and mirror are measured, is derived assuming that no interaction occurs between each measurement. Measurement of the particle first, in the correlated interference region, results in a splitting of the mirror substate into ones which have and have not reflected the particle. An analog of the interference from the Doppler effect for only measurements of the particle (a marginal PDF), in this two-body system, is shown to be a consequence of the asynchronous measurement. The simplification obtained for a microscopic particle reflecting from a mesoscopic or macroscopic mirror is used to illustrate asynchronous correlation interferometry. In this case, the small displacement between these mirror states can yield negligible environmental decoherence times. In addition, interference of these mirror states does not vanish in the limit of large mirror mass due to the small momentum exchange in reflecting a microscopic particle.

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Matter-wave optics in the time domain: Results of a cold-neutron experiment

Cited by 77 publications

References 19 publications

Effects of detuning on tunneling and traversal of ultracold atoms through vacuum-induced potentials

Effects of detuning on tunneling and traversal of ultracold atoms through vacuum-induced potentials

Transient quantum beats, Rabi oscillations, and delay time of modulated matter waves

Two-Particle Asynchronous Quantum Correlation: Wavefunction Collapse Acting as a Beamsplitter

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