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Open AccessArticle

Spectral Function of a Boson Ladder in an Artificial Gauge Field

1
Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno and CNR-Spin, Via Giovanni Paolo II, 132, I-84084 Fisciano (Sa), Italy
2
INFN, Sezione di Napoli, 80126 Napoli NA, Italy
3
CNR-IOM-Democritos National Simulation Centre, UDS Via Bonomea 265, I-34136 Trieste, Italy
4
Dipartimento di Fisica Teorica, Università di Trieste, I-34136 Trieste, Italy
5
Univ Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France
6
Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
*
Author to whom correspondence should be addressed.
Condens. Matter 2020, 5(1), 15; https://doi.org/10.3390/condmat5010015
Received: 31 January 2020 / Revised: 6 March 2020 / Accepted: 8 March 2020 / Published: 10 March 2020
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 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 the spectral functions due to quantum fluctuations as well as additional spectral weight at higher momenta due to backscattering and incommensuration effects. These features could be accessed in ultracold atom experiments using radio-frequency spectroscopy techniques. View Full-Text
Keywords: bosonization; Bogoliubov approximation; artificial gauge field; spectral functions bosonization; Bogoliubov approximation; artificial gauge field; spectral functions
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MDPI and ACS Style

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.

AMA Style

Citro R, De Palo S, Victorin N, Minguzzi A, Orignac E. Spectral Function of a Boson Ladder in an Artificial Gauge Field. Condensed Matter. 2020; 5(1):15.

Chicago/Turabian Style

Citro, Roberta; De Palo, Stefania; Victorin, Nicolas; Minguzzi, Anna; Orignac, Edmond. 2020. "Spectral Function of a Boson Ladder in an Artificial Gauge Field" Condens. Matter 5, no. 1: 15.

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