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Association and Dissociation of Ultracold Fermions Using an Oscillating Magnetic Field

Mohapatra, Abhishek, Mohapatra
http://orcid.org/0000-0001-5863-408X
http://rave.ohiolink.edu/etdc/view?acc_num=osu1530929046708582

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Physics.
The pairwise interactions of ultracold atoms can be resonantly enhanced by tuning the scattering length to in nity using a Feshbach resonance. In a gas of ultracold atoms whose scattering length is controlled by a magnetic Feshbach resonance, the atoms can be associated into universal dimers and the dimers can be dissociated into unbound atoms by using an oscillating longitudinal magnetic eld with frequency near the binding energy of a dimer. If the gas of ultracold atoms are fermions, the oscillating magnetic eld with frequency near the pairing gap can dissociate Cooper pairs into pairs of unbound atoms. In this thesis, we show that the transition rates for association and dissociation can be calculated by treating the oscillating magnetic eld as a sinusoidal time-dependent perturbation proportional to the contact operator. We calculate both the harmonic and subharmonic transition rates analytically for association in a thermal gas of atoms and for dissociation in a thermal gas of dimers. We also calculate the harmonic transition rate analytically for the dissociation of Cooper pairs into pairs of unbound atoms in the BCS limit. Our results for the dissociation rate of Cooper pairs can be used to make a direct measurement of the pairing gap for fermionic atoms.
Eric Braaten, Prof (Advisor)
Yuri Kovchegov, Prof (Committee Member)
Richard Furnstahl, Prof (Committee Member)
Louis DiMauro, Prof (Committee Member)
139 p.
Atoms and Subatomic Particles; Physics; Quantum Physics; Theoretical Physics
Effective Field Theory, Fermi Gases, Transition Rates, Magnetic Field

Recommended Citations

Citations

  • Mohapatra, Mohapatra, A. (2018). Association and Dissociation of Ultracold Fermions Using an Oscillating Magnetic Field [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1530929046708582

    APA Style (7th edition)

  • Mohapatra, Mohapatra, Abhishek. Association and Dissociation of Ultracold Fermions Using an Oscillating Magnetic Field. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1530929046708582.

    MLA Style (8th edition)

  • Mohapatra, Mohapatra, Abhishek. "Association and Dissociation of Ultracold Fermions Using an Oscillating Magnetic Field." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1530929046708582

    Chicago Manual of Style (17th edition)

osu1530929046708582
358
© 2018, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.