Mark Saunders Inertial sensing with cold atoms

Mark Saunderswww.durham.ac.uk/mark.saunders

www.durham.ac.uk/mark.saunders

Inertial sensing with cold atoms.

http://massey.dur.ac.uk/index.html

The -kicked rotor (kr)

Classical kr

Classical kr: Poincaré sections

Quantum kr

Quantum kr: Resonance and antiresonance

The atom-optical -kicked accelerator

The two-level atom

Thermal gas: Initial conditions

Simulations

Experimental accessibility

Applications

Application 1: Velocity selection

Application 2: Gyroscopes

Application 3: Accelerometry

Applications

Inertial sensitivity: Zero Temperature limit

Inertial sensitivity: Finite temperatures

Resonance width

Thesis

Fractional resonance: Zero temperature limit

Thermal gas: w = 2.5

Quasimomentum dependence

Inertial dependence

Quantum observables

Simulations

Hoogerland: Velocity selection

Prentiss: Analytic Result

Question: How well is coherence preserved?

dkp: Thermal resolution

Momentum cumulants: Simulation results

Momentum cumulants: Power law transition

Resonance width

w dependence

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

Moment Evolution Analytic Asymptotes

[8] Halkyard, Saunders, Challis and Gardiner, in preparation (March 2008)

Ultra-cold Limit Thermal Limit

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)

Momentum Moment Temperature Dependence

Momentum Cumulant Temperature Dependence

Mark Saunders Inertial sensing with cold atoms

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