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Phase transitions in full counting statistics of free fermions and directed polymers

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arxiv 2405.12651 v1 pith:STICEKZZ submitted 2024-05-21 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords polymersdirectedfermionsfreephasepotentialtransitionaction
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We consider directed polymers in 1+1 spatial dimension under action of an external repulsive potential along a line. Using the exact mapping onto imaginary time evolution of free fermions we find that for sufficiently strong potential the system of polymers undergoes a continuous configurational phase transition. The transition corresponds to merging empty regions in the dominant limit shape.

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  1. Emptiness Instanton in Quantum Polytropic Gas

    cond-mat.stat-mech 2024-12 conditional novelty 7.0 of 10

    An analytic continuation via contour integrals gives the emptiness instanton and emptiness formation probability for all polytropic indices gamma > 1 in a 1D quantum gas.

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