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Motivated by the calculation of correlation functions in inhomogeneous one-dimensional (1d) quantum systems, the 2d Inhomogeneous Gaussian Free Field (IGFF) is studied and solved.
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2005
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H. Spohn, “Nonlinear fluctuating hydrodynamics for anharmonic chains,” Journal of Statistical Physics
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J.-S. Caux and P. Calabrese, “Dynamical density-density correlations in the one-dimensional bose gas,” Physical Review A
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2007
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2007
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2014
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F. Meinert, M. Panfil, M. J. Mark, K. Lauber, J.-S. Caux, and H.-C. Nägerl, “Probing the excitations of a lieb-liniger gas from weak to strong coupling,” Physical review letters
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2015
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2016
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2016
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B. Fang, A. Johnson, T. Roscilde, and I. Bouchoule, “Momentum-space correlations of a one-dimensional bose gas,” Physical review letters
2016
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D. S. Dean, P. Le Doussal, S. N. Majumdar, and G. Schehr, “Noninteracting fermions at finite temperature in a d-dimensional trap: Universal correlations,” Physical Review A
2016
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O. A. Castro-Alvaredo, B. Doyon, and T. Yoshimura, “Emergent hydrodynamics in integrable quantum systems out of equilibrium,” Physical Review X
2016
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B. Bertini, M. Collura, J. De Nardis, and M. Fagotti, “Transport in out-of-equilibrium x x z chains: Exact profiles of charges and currents,” Physical review letters
2016
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J. Dubail, J.-M. Stephan, J. Viti, and P. Calabrese, “Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases,” SciPost Phys
2017
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J. Rodríguez-Laguna, J. Dubail, G. Ramírez, P. Calabrese, and G. Sierra, “More on the rainbow chain: entanglement, space-time geometry and thermal states,” Journal of Physics A: Mathematical and Theoretical
2017
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Y. Brun and J. Dubail, “One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance,” SciPost Phys
2017
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J. Dubail, J.-M. Stéphan, and P. Calabrese, “Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids,” SciPost Phys
2017
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V. Eisler and D. Bauernfeind, “Front dynamics and entanglement in the xxz chain with a gradient,” Physical Review B
2017
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2017
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2017
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2017
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B. Doyon, J. Dubail, R. Konik, and T. Yoshimura, “Large-scale description of interacting one-dimensional bose gases: generalized hydrodynamics supersedes conventional hydrodynamics,” Physical Review Letters
2017
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2017
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