2015
DOI: 10.1088/1367-2630/17/6/065016
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Gauge matters: observing the vortex-nucleation transition in a Bose condensate

Abstract: The order parameter of a quantum-coherent many-body system can include a phase degree of freedom, which, in the presence of an electromagnetic field, depends on the choice of gauge. Because of the relationship between the phase gradient and the velocity, time-of-flight measurements reveal this gradient. Here, we describe such measurements of initially trapped Bose-Einstein condensates (BECs) subject to an artificial magnetic field. Vortices nucleated in the BEC for artificial field strengths above a critical v… Show more

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Cited by 20 publications
(12 citation statements)
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“…The difference qA − qA out ≠0 is gauge invariant and stems from an effective (sheet) magnetic field at the interface between the cavity and vacuum. The experimental signatures of qA , such as shift of the energy minimum of polariton dispersion away from k =0, are observable in our experiments due to this effective magnetic field that alters the kinetic momentum as photons/polaritons pass through the interface 23 24 25 .…”
Section: Resultsmentioning
confidence: 69%
“…The difference qA − qA out ≠0 is gauge invariant and stems from an effective (sheet) magnetic field at the interface between the cavity and vacuum. The experimental signatures of qA , such as shift of the energy minimum of polariton dispersion away from k =0, are observable in our experiments due to this effective magnetic field that alters the kinetic momentum as photons/polaritons pass through the interface 23 24 25 .…”
Section: Resultsmentioning
confidence: 69%
“…The observed momentum distribution will in general differ in these two cases . As discussed in Möller and Cooper (2010) and LeBlanc et al (2015) these differences arise because the synthetic vector potential vanishes during TOF when the laser fields are removed: there are physical differences in how exactly the synthetic vector potential returns to zero when TOF begins, and physically different effective electric fields present during this turnoff. All physical observables remain invariant to local gauge transformations, provided these are applied consistently, i.e.…”
Section: Time-of-flight Measurementsmentioning
confidence: 99%
“…The NIST group (led by Spielman) was the first to implement this scheme experimentally with bosons in 2010, and later a collaboration between Shan Xi University group (led by Zhang) and Tsinghua University group (led by Zhai) in China, as well as the MIT group (led by Zwierlein), generalized this scheme to fermions in 2012. The paper by LeBlanc et al [20] reports the latest experimental progress from the NIST group. They studied the mechanism of vortex nucleation in a Bose condensation subjected to a synthetic magnetic field.…”
Section: Topological Physics With Cold Atomsmentioning
confidence: 99%