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Springer eBooks

Quantum Beats

E. T. Jaynes

Published Jan 1, 1980• 38 citations
Publisher
DOI
10.1007/978-1-4757-0671-0_3

Related papers

Accidental degeneracy beats: A distinct type of beat phenomenon in nonlinear optical spectroscopy

Kusai A. Merchant, David E. Thompson, M. D. Fayer

A type of beat in nonlinear optical spectroscopy that is distinct from quantum beats (QB's) and polarization beats, is described. Like a quantum beat, this beat, which we refer to as an accidental degeneracy beat (ADB), can only be seen in multilevel systems. However, unlike quantum beats, which are the result of intramolecular interferences, ADB's are interferences between different subensembles of molecules in the sample. They require multilevel systems with spectral overlap. ADB's can appear as separate frequencies or as phase and amplitude contributions with the same frequency as that of quantum beats. A procedure for distinguishing between quantum beats and ADB's is outlined, and criteria under which ADB's are expected to be observed are delineated. Calculations of the spectrally resolved stimulated vibrational echo signal from an inhomogeneously broadened coupled anharmonic oscillator system are presented to illustrate the differences between the two types of beats. ADB's carry information about the anharmonicity of a system, while QB's carry information about intramolecular correspondence of transition frequencies in a multilevel system.

Physical Review A•Jan 17, 2002•22 citations

Quantum Beats

Evgeny B. Alexandrov

Springer eBooks•Jan 1, 1979•0 citations

Beating effects of vector solitons in Bose-Einstein condensates

Li-Chen Zhao

We study the beating effects of solitons in multicomponent coupled Bose-Einstein condensate systems. Our analysis indicates that the period of beating behavior is determined by the energy eigenvalue difference in the effective quantum well induced by solitons, and the beating pattern is determined by the eigenstates of a quantum well, which are involved in the beating behavior. We show that the beating solitons correspond to linear superpositions of eigenstates in some quantum wells, and the correspondence relations are identical for solitons in both an attractive interaction and a repulsive interaction condensate. This provides a possible way to understand the beating effects of solitons for attractive and repulsive interaction cases in a unified way, based on the knowledge of quantum eigenstates. Moreover, our results demonstrate many different beating patterns for solitons in multicomponent coupled condensates, in sharp contrast to the beating dark soliton reported before. The beating behavior can be used to test the eigenvalue differences in certain quantum wells, and more abundant beating patterns are expected to exist in more component-coupled systems.

arXiv:1802.01671•Physical review. E•Jun 5, 2018•36 citations

Quantum Beats

Robert W. Field

Lecture notes in physics•Jan 1, 2015•0 citations

Quantum Beat Experiments Using a Cold Neutron Spin Interferometer

Toru Ebisawa, Dai Yamazaki, S. Tasaki +5 more

Easy quantum beat experiments have been developed using a new cold neutron spin interferometer, which brings us easy observation of quantum beat phenomena. The quantum beat is created by the coherent superposition of the spin eigenstates of cold neutron with different energy states, which are produced with two radio-frequency flippers. We observed quantum beat phenomena with a range of frequency from 4 kHz to 10 -5 Hz, which correspond to the energy differences from 1.66 ×10 -11 eV to 4.1 ×10 -20 eV. The principle and the arrangement of the quantum beat experiment are discussed, and typical measurement data are presented. Some applications of the quantum beat experiments are briefly proposed.

Journal of the Physical Society of Japan•May 15, 1998•9 citations

The Quantum Beat

F. G. Major

Springer eBooks•Jan 1, 2007•24 citations
A type of beat in nonlinear optical spectroscopy that is distinct from quantum beats (QB's) and polarization beats, is described. Like a quantum beat, this beat, which we refer to as an accidental degeneracy beat (ADB), can only be seen in multilevel systems. However, unlike quantum beats, which are the result of intramolecular interferences, ADB's are interferences between different subensembles of molecules in the sample. They require multilevel systems with spectral overlap. ADB's can appear as separate frequencies or as phase and amplitude contributions with the same frequency as that of quantum beats. A procedure for distinguishing between quantum beats and ADB's is outlined, and criteria under which ADB's are expected to be observed are delineated. Calculations of the spectrally resolved stimulated vibrational echo signal from an inhomogeneously broadened coupled anharmonic oscillator system are presented to illustrate the differences between the two types of beats. ADB's carry information about the anharmonicity of a system, while QB's carry information about intramolecular correspondence of transition frequencies in a multilevel system.
We study the beating effects of solitons in multicomponent coupled Bose-Einstein condensate systems. Our analysis indicates that the period of beating behavior is determined by the energy eigenvalue difference in the effective quantum well induced by solitons, and the beating pattern is determined by the eigenstates of a quantum well, which are involved in the beating behavior. We show that the beating solitons correspond to linear superpositions of eigenstates in some quantum wells, and the correspondence relations are identical for solitons in both an attractive interaction and a repulsive interaction condensate. This provides a possible way to understand the beating effects of solitons for attractive and repulsive interaction cases in a unified way, based on the knowledge of quantum eigenstates. Moreover, our results demonstrate many different beating patterns for solitons in multicomponent coupled condensates, in sharp contrast to the beating dark soliton reported before. The beating behavior can be used to test the eigenvalue differences in certain quantum wells, and more abundant beating patterns are expected to exist in more component-coupled systems.
Easy quantum beat experiments have been developed using a new cold neutron spin interferometer, which brings us easy observation of quantum beat phenomena. The quantum beat is created by the coherent superposition of the spin eigenstates of cold neutron with different energy states, which are produced with two radio-frequency flippers. We observed quantum beat phenomena with a range of frequency from 4 kHz to 10 -5 Hz, which correspond to the energy differences from 1.66 ×10 -11 eV to 4.1 ×10 -20 eV. The principle and the arrangement of the quantum beat experiment are discussed, and typical measurement data are presented. Some applications of the quantum beat experiments are briefly proposed.