Transverse Quantum Fluids

Abstract

Motivated by remarkable properties of superfluid edge dislocations in solid Helium-4, we discuss a broad class of quantum systems -- boundaries in phase separated lattice states, magnetic domain walls, and ensembles of Luttinger liquids -- that can be classified as Transverse Quantum Fluids (TQF). After introducing the general idea of TQF, we focus on a coupled array of Luttinger liquids forming an incoherent TQF. This state is a long-range ordered quasi-one-dimensional superfluid, topologically protected against quantum phase slips by tight-binding of instanton dipoles, that has no coherent quasi-particle excitations at low energies. Incoherent TQF is a striking example of the irrelevance of the Landau quasiparticle criterion for superfluidity in systems that lack Galilean invariance. We detail its phenomenology, to motivate a number of experimental studies in condensed matter and cold atomic systems.

replaced with the published version Phys. Rev. B 109, L100502 (2024)

References in corpus (6)

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• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Liquid crystal cells with "dirty" substrates
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Cited by in corpus (6)

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• Transverse Quantum Superfluids
• Autonomous dynamics of two-dimensional insulating domain with superclimbing edges
• Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter
• Spontaneous continuous-symmetry breaking and tower of states in a comb chain