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Title: Observation of High-Order Quantum Resonances in the Kicked Rotor

Abstract

Quantum resonances in the kicked rotor are characterized by a dramatically increased energy absorption rate, in stark contrast to the momentum localization generally observed. These resonances occur when the scaled Planck's constant {Dirac_h}/2{pi}-tilde=(r/s)4{pi}, for any integers r and s. However, only the {Dirac_h}/2{pi}-tilde=r2{pi} resonances are easily observable. We have observed high-order quantum resonances (s>2) utilizing a sample of low energy, noncondensed atoms and a pulsed optical standing wave. Resonances are observed for {Dirac_h}/2{pi}-tilde=(r/16)4{pi} for integers r=2-6. Quantum numerical simulations suggest that our observation of high-order resonances indicate a larger coherence length (i.e., coherence between different wells) than expected from an initially thermal atomic sample.

Authors:
; ; ;  [1];  [2];  [1];  [2]
  1. Centre for Quantum Information and Quantum Control, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7 (Canada)
  2. (Canada)
Publication Date:
OSTI Identifier:
20957681
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevLett.98.083004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COHERENCE LENGTH; ENERGY ABSORPTION; RESONANCE; ROTORS; SIMULATION; STANDING WAVES

Citation Formats

Kanem, J. F., Maneshi, S., Partlow, M., Steinberg, A. M., Institute for Optical Sciences and Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7, Spanner, M., and Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario, M5S 3H6. Observation of High-Order Quantum Resonances in the Kicked Rotor. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.083004.
Kanem, J. F., Maneshi, S., Partlow, M., Steinberg, A. M., Institute for Optical Sciences and Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7, Spanner, M., & Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario, M5S 3H6. Observation of High-Order Quantum Resonances in the Kicked Rotor. United States. doi:10.1103/PHYSREVLETT.98.083004.
Kanem, J. F., Maneshi, S., Partlow, M., Steinberg, A. M., Institute for Optical Sciences and Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7, Spanner, M., and Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario, M5S 3H6. Fri . "Observation of High-Order Quantum Resonances in the Kicked Rotor". United States. doi:10.1103/PHYSREVLETT.98.083004.
@article{osti_20957681,
title = {Observation of High-Order Quantum Resonances in the Kicked Rotor},
author = {Kanem, J. F. and Maneshi, S. and Partlow, M. and Steinberg, A. M. and Institute for Optical Sciences and Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7 and Spanner, M. and Chemical Physics Theory Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario, M5S 3H6},
abstractNote = {Quantum resonances in the kicked rotor are characterized by a dramatically increased energy absorption rate, in stark contrast to the momentum localization generally observed. These resonances occur when the scaled Planck's constant {Dirac_h}/2{pi}-tilde=(r/s)4{pi}, for any integers r and s. However, only the {Dirac_h}/2{pi}-tilde=r2{pi} resonances are easily observable. We have observed high-order quantum resonances (s>2) utilizing a sample of low energy, noncondensed atoms and a pulsed optical standing wave. Resonances are observed for {Dirac_h}/2{pi}-tilde=(r/16)4{pi} for integers r=2-6. Quantum numerical simulations suggest that our observation of high-order resonances indicate a larger coherence length (i.e., coherence between different wells) than expected from an initially thermal atomic sample.},
doi = {10.1103/PHYSREVLETT.98.083004},
journal = {Physical Review Letters},
number = 8,
volume = 98,
place = {United States},
year = {Fri Feb 23 00:00:00 EST 2007},
month = {Fri Feb 23 00:00:00 EST 2007}
}