SciPost Phys. 9, 025 (2020) ·
published 25 August 2020

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We consider a model of two tunnelcoupled onedimensional Bose gases with hardwall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sineGordon model and a free boson, describing respectively the antisymmetric and symmetric combinations of the phase fields. We go beyond this description by retaining the perturbation with the next smallest scaling dimension. This perturbation carries conformal spin and couples the two sectors. We carry out a detailed investigation of the effects of this coupling on the nonequilibrium dynamics of the model. We focus in particular on the role played by spatial inhomogeneities in the initial state in a quantum quench setup.
Yuri D. van Nieuwkerk, Jörg Schmiedmayer, Fabian H. L. Essler
SciPost Phys. 5, 046 (2018) ·
published 8 November 2018

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We consider timeofflight measurements in split onedimensional Bose gases.
It is well known that the lowenergy sector of such systems can be described in
terms of two compact phase fields $\hat{\phi}_{a,s}(x)$. Building on existing
results in the literature we discuss how a single projective measurement of the
particle density after trap release is in a certain limit related to the
eigenvalues of the vertex operator $e^{i\hat{\phi}_a(x)}$. We emphasize the
theoretical assumptions underlying the analysis of "singleshot" interference
patterns and show that such measurements give direct access to multipoint
correlation functions of $e^{i\hat{\phi}_a(x)}$ in a substantial parameter
regime. For experimentally relevant situations, we derive an expression for the
measured particle density after trap release in terms of convolutions of the
eigenvalues of vertex operators involving both sectors of the twocomponent
Luttinger liquid that describes the lowenergy regime of the split condensate.
This opens the door to accessing properties of the symmetric sector via an
appropriate analysis of existing experimental data.
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