Mark Saunders Inertial sensing with cold atoms.
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Transcript of Mark Saunders Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
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Mark Saunderswww.durham.ac.uk/mark.saunders
http://massey.dur.ac.uk/index.html
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
The -kicked rotor (kr)
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Mark Saunderswww.durham.ac.uk/mark.saunders
Classical kr
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Mark Saunderswww.durham.ac.uk/mark.saunders
Classical kr
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Mark Saunderswww.durham.ac.uk/mark.saunders
Classical kr: Poincaré sections
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
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Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
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Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
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Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
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Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
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Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
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Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
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Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
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Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
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Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
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Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
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Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: Initial conditions
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Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: Initial conditions
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Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: Initial conditions
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Mark Saunderswww.durham.ac.uk/mark.saunders
Simulations
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
Experimental accessibility
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Mark Saunderswww.durham.ac.uk/mark.saunders
Applications
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Mark Saunderswww.durham.ac.uk/mark.saunders
Application 1: Velocity selection
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Mark Saunderswww.durham.ac.uk/mark.saunders
Application 1: Velocity selection
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Mark Saunderswww.durham.ac.uk/mark.saunders
Application 2: Gyroscopes
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Mark Saunderswww.durham.ac.uk/mark.saunders
Application 2: Gyroscopes
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Mark Saunderswww.durham.ac.uk/mark.saunders
Application 2: Gyroscopes
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Mark Saunderswww.durham.ac.uk/mark.saunders
Application 3: Accelerometry
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Mark Saunderswww.durham.ac.uk/mark.saunders
Applications
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Finite temperatures
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Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
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Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
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Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
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Mark Saunderswww.durham.ac.uk/mark.saunders
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
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Mark Saunderswww.durham.ac.uk/mark.saunders
Thesis
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
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Mark Saunderswww.durham.ac.uk/mark.saunders
Fractional resonance: Zero temperature limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: w = 2.5
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quasimomentum dependence
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial dependence
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Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum observables
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum observables
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum observables
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Mark Saunderswww.durham.ac.uk/mark.saunders
Simulations
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Mark Saunderswww.durham.ac.uk/mark.saunders
Simulations
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Mark Saunderswww.durham.ac.uk/mark.saunders
Hoogerland: Velocity selection
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Mark Saunderswww.durham.ac.uk/mark.saunders
Prentiss: Analytic Result
Question: How well is coherence preserved?
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dkp: Thermal resolution
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Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum cumulants: Simulation results
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Momentum cumulants: Power law transition
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Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum cumulants: Power law transition
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Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
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Mark Saunderswww.durham.ac.uk/mark.saunders
w dependence
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Mark Saunderswww.durham.ac.uk/mark.saunders
Quasimomentum Resonance Width
Interpretation: The resonance widths are independent of gravity (To be verified analytically).
Question: WHY does the gravity affect the temperature dependence?
Answer: This phenomenon must be due the number of resonances rather than their width.
Observation: The second- and fourth-order momentum moments have a similar quasimomentum dependence
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Mark Saunderswww.durham.ac.uk/mark.saunders
Moment Evolution Analytic Asymptotes
[8] Halkyard, Saunders, Challis and Gardiner, in preparation (March 2008)
Ultra-cold Limit Thermal Limit
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Mark Saunderswww.durham.ac.uk/mark.saunders
Moment Evolution in Temperature Limits
Ultra-cold Limit Thermal Limit
[9] d’Arcy, Godun, Oberthaler, Summi, Burnett, and Gardiner,
Phys. Rev. E 64 056233 (2001)
[9]
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Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum Moment Temperature Dependence
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Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum Cumulant Temperature Dependence
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Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.