mark saunders inertial sensing with cold atoms
Post on 21-Dec-2015
215 views
TRANSCRIPT
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
Mark Saunderswww.durham.ac.uk/mark.saunders
Mark Saunderswww.durham.ac.uk/mark.saunders
http://massey.dur.ac.uk/index.html
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
Mark Saunderswww.durham.ac.uk/mark.saunders
The -kicked rotor (kr)
Mark Saunderswww.durham.ac.uk/mark.saunders
Classical kr
Mark Saunderswww.durham.ac.uk/mark.saunders
Classical kr
Mark Saunderswww.durham.ac.uk/mark.saunders
Classical kr: Poincaré sections
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
Mark Saunderswww.durham.ac.uk/mark.saunders
The two-level atom
Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
Mark Saunderswww.durham.ac.uk/mark.saunders
The atom-optical -kicked accelerator
Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: Initial conditions
Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: Initial conditions
Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: Initial conditions
Mark Saunderswww.durham.ac.uk/mark.saunders
Simulations
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
Mark Saunderswww.durham.ac.uk/mark.saunders
Experimental accessibility
Mark Saunderswww.durham.ac.uk/mark.saunders
Applications
Mark Saunderswww.durham.ac.uk/mark.saunders
Application 1: Velocity selection
Mark Saunderswww.durham.ac.uk/mark.saunders
Application 1: Velocity selection
Mark Saunderswww.durham.ac.uk/mark.saunders
Application 2: Gyroscopes
Mark Saunderswww.durham.ac.uk/mark.saunders
Application 2: Gyroscopes
Mark Saunderswww.durham.ac.uk/mark.saunders
Application 2: Gyroscopes
Mark Saunderswww.durham.ac.uk/mark.saunders
Application 3: Accelerometry
Mark Saunderswww.durham.ac.uk/mark.saunders
Applications
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Finite temperatures
Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
Mark Saunderswww.durham.ac.uk/mark.saunders
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/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.
Mark Saunderswww.durham.ac.uk/mark.saunders
Thesis
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum kr: Resonance and antiresonance
Mark Saunderswww.durham.ac.uk/mark.saunders
Fractional resonance: Zero temperature limit
Mark Saunderswww.durham.ac.uk/mark.saunders
Thermal gas: w = 2.5
Mark Saunderswww.durham.ac.uk/mark.saunders
Quasimomentum dependence
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial dependence
Mark Saunderswww.durham.ac.uk/mark.saunders
Inertial sensitivity: Zero Temperature limit
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum observables
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum observables
Mark Saunderswww.durham.ac.uk/mark.saunders
Quantum observables
Mark Saunderswww.durham.ac.uk/mark.saunders
Simulations
Mark Saunderswww.durham.ac.uk/mark.saunders
Simulations
Mark Saunderswww.durham.ac.uk/mark.saunders
Hoogerland: Velocity selection
Mark Saunderswww.durham.ac.uk/mark.saunders
Prentiss: Analytic Result
Question: How well is coherence preserved?
Mark Saunderswww.durham.ac.uk/mark.saunders
dkp: Thermal resolution
Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum cumulants: Simulation results
Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum cumulants: Power law transition
Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum cumulants: Power law transition
Mark Saunderswww.durham.ac.uk/mark.saunders
Resonance width
Mark Saunderswww.durham.ac.uk/mark.saunders
w dependence
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
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
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]
Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum Moment Temperature Dependence
Mark Saunderswww.durham.ac.uk/mark.saunders
Momentum Cumulant Temperature Dependence
Mark Saunderswww.durham.ac.uk/mark.saunders
www.durham.ac.uk/mark.saunders
Inertial sensing with cold atoms.