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Modeling the effects of inertial for...

Kandes, Martin Charles.

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Modeling the effects of inertial forces on Bose-Einstein condensates in rotating frames of reference.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modeling the effects of inertial forces on Bose-Einstein condensates in rotating frames of reference./
Author:	Kandes, Martin Charles.
Description:	317 p.
Notes:	Source: Dissertation Abstracts International, Volume: 77-05(E), Section: B.
Contained By:	Dissertation Abstracts International77-05B(E).
Subject:	Atomic physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3739712
ISBN:	9781339311845

Modeling the effects of inertial forces on Bose-Einstein condensates in rotating frames of reference.
Kandes, Martin Charles.

Modeling the effects of inertial forces on Bose-Einstein condensates in rotating frames of reference. - 317 p.

Source: Dissertation Abstracts International, Volume: 77-05(E), Section: B.

Thesis (Ph.D.)--The Claremont Graduate University, 2015.

In this dissertation, I model the effects of inertial forces on the dynamics of weakly-interacting dilute atomic gas Bose-Einstein condensates (BECs) in rotating frames of reference through the use of numerical simulations. The dynamics of BECs are modeled here in the mean-field limit of the time-dependent Gross-Pitaevskii equation (GPE). When the GPE is considered in a rotating frame of reference, the inertial forces acting on a BEC manifest themselves as an effective coupling between the angular momentum of the condensate itself and the angular velocity vector that defines the rotational motion of the reference frame. Using a method-of-lines implementation of a generalized 4th-order Runge-Kutta method with finite differences to numerically approximate solutions of the GPE, I study how this effective coupling of the inertial forces to the condensate arise in practice by simulating the dynamics of BECs in three quantum-mechanical analogues of classical rotating systems. These systems are (1) a Foucault pendulum-like harmonic oscillator, (2) a mechanical gyroscope, and (3) a Compton generator. When possible, the observed dynamics of the condensates are compared via the Ehrenfest theorem to the dynamics predicted for the corresponding classical system. In general, I find that the observed dynamics for each of these systems agrees quite well with their classical counterparts. However, in a few cases, there appears to be some unaccounted for internal dynamics of the BECs that is not well-explained by the classical equations of motion. But further study will be required to elucidate the source of these possible discrepancies.

ISBN: 9781339311845Subjects--Topical Terms:

3173870
Atomic physics.

Modeling the effects of inertial forces on Bose-Einstein condensates in rotating frames of reference.
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100 1 $a Kandes, Martin Charles. $3 3194428
245 1 0 $a Modeling the effects of inertial forces on Bose-Einstein condensates in rotating frames of reference.
300 $a 317 p.
500 $a Source: Dissertation Abstracts International, Volume: 77-05(E), Section: B.
500 $a Advisers: Ricardo Carretero-Gonzalez; Michael Bromley.
502 $a Thesis (Ph.D.)--The Claremont Graduate University, 2015.
520 $a In this dissertation, I model the effects of inertial forces on the dynamics of weakly-interacting dilute atomic gas Bose-Einstein condensates (BECs) in rotating frames of reference through the use of numerical simulations. The dynamics of BECs are modeled here in the mean-field limit of the time-dependent Gross-Pitaevskii equation (GPE). When the GPE is considered in a rotating frame of reference, the inertial forces acting on a BEC manifest themselves as an effective coupling between the angular momentum of the condensate itself and the angular velocity vector that defines the rotational motion of the reference frame. Using a method-of-lines implementation of a generalized 4th-order Runge-Kutta method with finite differences to numerically approximate solutions of the GPE, I study how this effective coupling of the inertial forces to the condensate arise in practice by simulating the dynamics of BECs in three quantum-mechanical analogues of classical rotating systems. These systems are (1) a Foucault pendulum-like harmonic oscillator, (2) a mechanical gyroscope, and (3) a Compton generator. When possible, the observed dynamics of the condensates are compared via the Ehrenfest theorem to the dynamics predicted for the corresponding classical system. In general, I find that the observed dynamics for each of these systems agrees quite well with their classical counterparts. However, in a few cases, there appears to be some unaccounted for internal dynamics of the BECs that is not well-explained by the classical equations of motion. But further study will be required to elucidate the source of these possible discrepancies.
520 $a In addition to simulating the quantum analogues of these classical rotating systems, I also extend some of my earlier work on the interference of matter waves in a Sagnac interferometer. In particular, I extend this work to consider how the observed Sagnac phase shift accumulates in time when the wave packets propagate within an ''off-axis'' ring potential that orbits the centre of rotation in the system. Here, once again, I find that the accumulation of the Sagnac phase shift may occur in discrete phase jumps under certain conditions. This unexpected behavior in the time-dependence of the Sagnac phase shift is ascribed to the initial angular momentum the wave packets acquire starting at rest with respect to the interferometer's uniformly rotating ring potential, which prevents the center of mass between the wave packets from drifting linearly about the ring.
590 $a School code: 0047.
650 4 $a Atomic physics. $3 3173870
650 4 $a Applied mathematics. $3 2122814
650 4 $a Quantum physics. $3 726746
690 $a 0748
690 $a 0364
690 $a 0599
710 2 $a The Claremont Graduate University. $b Mathematical Sciences. $3 3194429
773 0 $t Dissertation Abstracts International $g 77-05B(E).
790 $a 0047
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3739712