Quantum dynamics with ultra cold atoms Nir Davidson


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Quantum dynamics with ultra cold atoms




Is there quantum chaos?



Atom-optics billiards: decay of classical time-correlations







Pulsed microwave spectroscopy





Ramsey spectroscopy of trapped atoms



Ramsey spectroscopy of single eigenstate



Ramsey spectroscopy of thermal ensemble



Echo spectroscopy (Han 1950)



Echo spectroscopy





Quantum dynamics in Gaussian trap



Long-time echo signal



Observation of “sidebands”



Quantum stability in atom-optic billiards



Quantum stability in atom-optic billiards





Quantum dynamics in mixed and chaotic phase-space



Quantum dynamics in perturbation-independent regime



Shape of perturbation is also important



… and even it’s position



No perturbation-independence



Finally: back to Ramsey (=Loschmidt)



Conclusions

  • Quantum dynamics of extremely high-lying states in billiards:

  • survival probability = Loschmidt echo = fidelity=dephasing?

  • Quantum stability depends on: classical dynamics, type and strength of perturbation, state considered and….

  • “Applications”: precision spectroscopy (“clocks”)

  • quantum information









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