Jalani F. Kanem 1 , Samansa Maneshi 1 , Matthew Partlow 1 , Michael Spanner 2 and Aephraim Steinberg 1 Center for Quantum Information & Quantum Control, Institute for Optical Sciences, 1 Department of Physics, 2 Department of Chemistry, University of Toronto Observation of High-order Quantum Resonances in the Kicked Rotor
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Jalani F. Kanem 1, Samansa Maneshi 1, Matthew Partlow 1, Michael Spanner 2 and Aephraim Steinberg 1 Center for Quantum Information & Quantum Control, Institute.
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Jalani F. Kanem1, Samansa Maneshi1, Matthew Partlow1, Michael Spanner2
and Aephraim Steinberg1
Center for Quantum Information & Quantum Control,
Institute for Optical Sciences,1Department of Physics,
2Department of Chemistry,University of Toronto
Observation of High-order Quantum Resonances in the Kicked Rotor
Outline:
• Kicked Rotor analogue with optical lattice• Quantum resonances• Experimental setup• Data & simulations
• The quantum kicked rotor is a rich system for studying quantum-classical correspondence, decoherence, and quantum dynamics in general
• Atom optics systems provide excellent analogue:Atom Optics Realization of the Quantum Delta-Kicked Rotor
Raizen group - PRL 75, 4598-4601 (1995)
• Possible probe of lattice inter-well coherence ?
INTRODUCTION
Ideal Delta Kicked Rotor
Optical Lattice realization
g
Kicked Rotor
T
ideal lattice implementation
Ideal Rotor
Atom optics realization
g
Kicked Rotor
Stochasticity parameter: system becomes chaotic when strength or period of kicks are large enough that atoms (rotor) travel more than one lattice spacing (2 between kicks.→Force on atom is a random variable
T
ideal lattice implementation
Scaled quantum Schrödinger’s:
Scaled Planck's constant is a measure of how 'quantum' the system is. The smaller , the greater the quantum classical correspondence
~ ratio of quantized momentum transfer from lattice to momentum required to move one lattice spacing in one kick period, T
Discuss classical vs. quantum behaviour of momentumdiffusion?