Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Spectral Function of a Boson Ladder in an Artificial Gauge Field

Version 1 : Received: 31 January 2020 / Approved: 3 February 2020 / Online: 3 February 2020 (05:04:49 CET)

A peer-reviewed article of this Preprint also exists.

Citro, R.; De Palo, S.; Victorin, N.; Minguzzi, A.; Orignac, E. Spectral Function of a Boson Ladder in an Artificial Gauge Field. Condens. Matter 2020, 5, 15. Citro, R.; De Palo, S.; Victorin, N.; Minguzzi, A.; Orignac, E. Spectral Function of a Boson Ladder in an Artificial Gauge Field. Condens. Matter 2020, 5, 15.

Journal reference: Condens. Matter 2020, 5, 15
DOI: 10.3390/condmat5010015

Abstract

We calculate the spectral function of a boson ladder in an artificial magnetic field by means of analytic approaches based on bosonization and Bogoliubov theory. We discuss the evolution of the spectral function at increasing effective magnetic flux, from the Meissner to the Vortex phase, focussing on the effects of incommensurations in momentum space. At low flux, in the Meissner phase, the spectral function displays both a gapless branch and a gapped one, while at higher flux, in the Vortex phase, the spectral function displays two gapless branches and the spectral weight is shifted at a wavevector associated to the underlying vortex spatial structure which can indicate a 8 supersolid-like behavior. While the Bogoliubov theory, valid at weak interactions, predicts sharp delta-like features in the spectral function, at stronger interactions we find power-law broadening of 10 the spectral functions due to quantum fluctuations as well as additional spectral weight at higher 11 momenta due to backscattering and incommensuration effects. These features could be accessed in 12 ultracold atom experiments using radio-frequency spectroscopy techniques.

Subject Areas

bosonization; Bogoliubov approximation; artificial gauge field; spectral functions

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