scholarly journals Competing orders in one-dimensional half-integer fermionic cold atoms: A conformal field theory approach

2008 ◽  
Vol 798 (3) ◽  
pp. 443-469 ◽  
Author(s):  
P. Lecheminant ◽  
P. Azaria ◽  
E. Boulat
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Cold Atoms ◽  
Theory Approach ◽  
One Dimensional ◽  
Conformal Field ◽  
Half Integer ◽  
Competing Orders

scholarly journals Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Paola Ruggiero ◽  
Pasquale Calabrese ◽  
Laura Foini ◽  
Thierry Giamarchi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Cold Atoms ◽  
Scaling Limit ◽  
Theory Approach ◽  
Luttinger Liquids ◽  
Initial State ◽  
Conformal Field ◽  
Power Law Decay ◽  
Massless Mode

We study the quantum quench in two coupled Tomonaga-Luttinger Liquids (TLLs), from the off-critical to the critical regime, relying on the conformal field theory approach and the known solutions for single TLLs. We consider a squeezed form of the initial state, whose low energy limit is fixed in a way to describe a massive and a massless mode, and we encode the non-equilibrium dynamics in a proper rescaling of the time. In this way, we compute several correlation functions, which at leading order factorize into multipoint functions evaluated at different times for the two modes. Depending on the observable, the contribution from the massive or from the massless mode can be the dominant one, giving rise to exponential or power-law decay in time, respectively. Our results find a direct application in all the quench problems where, in the scaling limit, there are two independent massless fields: these include the Hubbard model, the Gaudin-Yang gas, and tunnel-coupled tubes in cold atoms experiments.

FOUR-DIMENSIONAL TWO-BRANE SOLUTION IN CHIRAL GAUGED WESS-ZUMINO-WITTEN MODEL

1992 ◽  
Vol 07 (32) ◽  
pp. 2999-3006 ◽  
Author(s):  
SWAPNA MAHAPATRA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Target Space ◽  
Curvature Singularity ◽  
One Dimensional ◽  
Conformal Field ◽  
Witten Theory ◽  
Brane Solution ◽  
The One ◽  
String Propagation

An exact conformal field theory describing a four-dimensional two-brane solution is found by considering a chiral gauged Wess-Zumino-Witten theory corresponding to SL (2, R)× R, where one gauges the one-dimensional U(1) subgroup together with a translation in R. The backgrounds for string propagation are explicitly obtained and the target space is shown to have a true curvature singularity.

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