scholarly journals Maximum entropy analytic continuation for spectral functions with nonpositive spectral weight

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
A. Reymbaut ◽  
D. Bergeron ◽  
A.-M. S. Tremblay
Keyword(s):  
Analytic Continuation ◽  
Maximum Entropy ◽  
Spectral Weight ◽  
Spectral Functions

scholarly journals Spectral Function of a Boson Ladder in an Artificial Gauge Field

2020 ◽  
Vol 5 (1) ◽  
pp. 15 ◽  
Author(s):  
Roberta Citro ◽  
Stefania De Palo ◽  
Nicolas Victorin ◽  
Anna Minguzzi ◽  
Edmond Orignac
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Spectral Function ◽  
Weak Interactions ◽  
Spectral Weight ◽  
Ultracold Atom ◽  
Spectral Functions ◽  
Vortex Phase ◽  
Bogoliubov Theory ◽  
Radio Frequency Spectroscopy

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.

scholarly journals Maximum entropy analysis of hadron spectral functions and excited states in quenched lattice QCD

2002 ◽  
Vol 106-107 ◽  
pp. 233-235
Author(s):  
S. Aoki ◽  
R. Burkhalter ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
N. Ishizuka ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Maximum Entropy ◽  
Excited States ◽  
Entropy Analysis ◽  
Spectral Functions
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