Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensing with cold atoms.

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Presentation transcript:

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders

Mark Saunders

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders The  -kicked rotor (  kr)

Mark Saunders Classical  kr

Mark Saunders Classical  kr

Mark Saunders Classical  kr: Poincaré sections

Mark Saunders Quantum  kr

Mark Saunders Quantum  kr

Mark Saunders Quantum  kr: Resonance and antiresonance

Mark Saunders Quantum  kr: Resonance and antiresonance

Mark Saunders Quantum  kr: Resonance and antiresonance

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders The atom-optical  -kicked accelerator

Mark Saunders The atom-optical  -kicked accelerator

Mark Saunders The two-level atom

Mark Saunders The two-level atom

Mark Saunders The two-level atom

Mark Saunders The two-level atom

Mark Saunders The two-level atom

Mark Saunders The two-level atom

Mark Saunders The atom-optical  -kicked accelerator

Mark Saunders The atom-optical  -kicked accelerator

Mark Saunders The atom-optical  -kicked accelerator

Mark Saunders Thermal gas: Initial conditions

Mark Saunders Thermal gas: Initial conditions

Mark Saunders Thermal gas: Initial conditions

Mark Saunders Simulations

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders Experimental accessibility

Mark Saunders Applications

Mark Saunders Application 1: Velocity selection

Mark Saunders Application 1: Velocity selection

Mark Saunders Application 2: Gyroscopes

Mark Saunders Application 2: Gyroscopes

Mark Saunders Application 2: Gyroscopes

Mark Saunders Application 3: Accelerometry

Mark Saunders Applications

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders Inertial sensitivity: Zero Temperature limit

Mark Saunders Inertial sensitivity: Zero Temperature limit

Mark Saunders Inertial sensitivity: Zero Temperature limit

Mark Saunders Inertial sensitivity: Zero Temperature limit

Mark Saunders Inertial sensitivity: Finite temperatures

Mark Saunders Resonance width

Mark Saunders Resonance width

Mark Saunders Resonance width

Mark Saunders

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders Inertial sensing with cold atoms.

Mark Saunders Thesis

Mark Saunders Quantum  kr: Resonance and antiresonance

Mark Saunders Fractional resonance: Zero temperature limit

Mark Saunders Thermal gas: w = 2.5

Mark Saunders Quasimomentum dependence

Mark Saunders Inertial dependence

Mark Saunders Inertial sensitivity: Zero Temperature limit

Mark Saunders Quantum observables

Mark Saunders Quantum observables

Mark Saunders Quantum observables

Mark Saunders Simulations

Mark Saunders Simulations

Mark Saunders Hoogerland: Velocity selection

Mark Saunders Prentiss: Analytic Result Question: How well is coherence preserved?

Mark Saunders dkp: Thermal resolution

Mark Saunders Momentum cumulants: Simulation results

Mark Saunders Momentum cumulants: Power law transition

Mark Saunders Momentum cumulants: Power law transition

Mark Saunders Resonance width

Mark Saunders w dependence

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

Mark Saunders Moment Evolution Analytic Asymptotes [8] Halkyard, Saunders, Challis and Gardiner, in preparation (March 2008) Ultra-cold Limit Thermal Limit

Mark Saunders Moment Evolution in Temperature Limits Ultra-cold Limit Thermal Limit [9] d’Arcy, Godun, Oberthaler, Summi, Burnett, and Gardiner, Phys. Rev. E (2001) [9]

Mark Saunders Momentum Moment Temperature Dependence

Mark Saunders Momentum Cumulant Temperature Dependence

Mark Saunders Inertial sensing with cold atoms.