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

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

2 Mark Saunders www.durham.ac.uk/mark.saunders

3 Mark Saunders www.durham.ac.uk/mark.saunders http://massey.dur.ac.uk/index.html

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

5 Mark Saunders www.durham.ac.uk/mark.saunders The  -kicked rotor (  kr)

6 Mark Saunders www.durham.ac.uk/mark.saunders Classical  kr

7 Mark Saunders www.durham.ac.uk/mark.saunders Classical  kr

8 Mark Saunders www.durham.ac.uk/mark.saunders Classical  kr: Poincaré sections

9 Mark Saunders www.durham.ac.uk/mark.saunders Quantum  kr

10 Mark Saunders www.durham.ac.uk/mark.saunders Quantum  kr

11 Mark Saunders www.durham.ac.uk/mark.saunders Quantum  kr: Resonance and antiresonance

12 Mark Saunders www.durham.ac.uk/mark.saunders Quantum  kr: Resonance and antiresonance

13 Mark Saunders www.durham.ac.uk/mark.saunders Quantum  kr: Resonance and antiresonance

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

15 Mark Saunders www.durham.ac.uk/mark.saunders The atom-optical  -kicked accelerator

16 Mark Saunders www.durham.ac.uk/mark.saunders The atom-optical  -kicked accelerator

17 Mark Saunders www.durham.ac.uk/mark.saunders The two-level atom

18 Mark Saunders www.durham.ac.uk/mark.saunders The two-level atom

19 Mark Saunders www.durham.ac.uk/mark.saunders The two-level atom

20 Mark Saunders www.durham.ac.uk/mark.saunders The two-level atom

21 Mark Saunders www.durham.ac.uk/mark.saunders The two-level atom

22 Mark Saunders www.durham.ac.uk/mark.saunders The two-level atom

23 Mark Saunders www.durham.ac.uk/mark.saunders The atom-optical  -kicked accelerator

24 Mark Saunders www.durham.ac.uk/mark.saunders The atom-optical  -kicked accelerator

25 Mark Saunders www.durham.ac.uk/mark.saunders The atom-optical  -kicked accelerator

26 Mark Saunders www.durham.ac.uk/mark.saunders Thermal gas: Initial conditions

27 Mark Saunders www.durham.ac.uk/mark.saunders Thermal gas: Initial conditions

28 Mark Saunders www.durham.ac.uk/mark.saunders Thermal gas: Initial conditions

29 Mark Saunders www.durham.ac.uk/mark.saunders Simulations

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

31 Mark Saunders www.durham.ac.uk/mark.saunders Experimental accessibility

32 Mark Saunders www.durham.ac.uk/mark.saunders Applications

33 Mark Saunders www.durham.ac.uk/mark.saunders Application 1: Velocity selection

34 Mark Saunders www.durham.ac.uk/mark.saunders Application 1: Velocity selection

35 Mark Saunders www.durham.ac.uk/mark.saunders Application 2: Gyroscopes

36 Mark Saunders www.durham.ac.uk/mark.saunders Application 2: Gyroscopes

37 Mark Saunders www.durham.ac.uk/mark.saunders Application 2: Gyroscopes

38 Mark Saunders www.durham.ac.uk/mark.saunders Application 3: Accelerometry

39 Mark Saunders www.durham.ac.uk/mark.saunders Applications

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

41 Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensitivity: Zero Temperature limit

42 Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensitivity: Zero Temperature limit

43 Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensitivity: Zero Temperature limit

44 Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensitivity: Zero Temperature limit

45 Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensitivity: Finite temperatures

46 Mark Saunders www.durham.ac.uk/mark.saunders Resonance width

47 Mark Saunders www.durham.ac.uk/mark.saunders Resonance width

48 Mark Saunders www.durham.ac.uk/mark.saunders Resonance width

49 Mark Saunders www.durham.ac.uk/mark.saunders

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

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

52 Mark Saunders www.durham.ac.uk/mark.saunders Thesis

53 Mark Saunders www.durham.ac.uk/mark.saunders Quantum  kr: Resonance and antiresonance

54 Mark Saunders www.durham.ac.uk/mark.saunders Fractional resonance: Zero temperature limit

55 Mark Saunders www.durham.ac.uk/mark.saunders Thermal gas: w = 2.5

56 Mark Saunders www.durham.ac.uk/mark.saunders Quasimomentum dependence

57 Mark Saunders www.durham.ac.uk/mark.saunders Inertial dependence

58 Mark Saunders www.durham.ac.uk/mark.saunders Inertial sensitivity: Zero Temperature limit

59 Mark Saunders www.durham.ac.uk/mark.saunders Quantum observables

60 Mark Saunders www.durham.ac.uk/mark.saunders Quantum observables

61 Mark Saunders www.durham.ac.uk/mark.saunders Quantum observables

62 Mark Saunders www.durham.ac.uk/mark.saunders Simulations

63 Mark Saunders www.durham.ac.uk/mark.saunders Simulations

64 Mark Saunders www.durham.ac.uk/mark.saunders Hoogerland: Velocity selection

65 Mark Saunders www.durham.ac.uk/mark.saunders Prentiss: Analytic Result Question: How well is coherence preserved?

66 Mark Saunders www.durham.ac.uk/mark.saunders dkp: Thermal resolution

67 Mark Saunders www.durham.ac.uk/mark.saunders Momentum cumulants: Simulation results

68 Mark Saunders www.durham.ac.uk/mark.saunders Momentum cumulants: Power law transition

69 Mark Saunders www.durham.ac.uk/mark.saunders Momentum cumulants: Power law transition

70 Mark Saunders www.durham.ac.uk/mark.saunders Resonance width

71 Mark Saunders www.durham.ac.uk/mark.saunders w dependence

72 Mark Saunders www.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

73 Mark Saunders www.durham.ac.uk/mark.saunders Moment Evolution Analytic Asymptotes [8] Halkyard, Saunders, Challis and Gardiner, in preparation (March 2008) Ultra-cold Limit Thermal Limit

74 Mark Saunders www.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]

75 Mark Saunders www.durham.ac.uk/mark.saunders Momentum Moment Temperature Dependence

76 Mark Saunders www.durham.ac.uk/mark.saunders Momentum Cumulant Temperature Dependence

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

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