Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid

Abstract

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. The Bose-glass phase is described by a fully attractive strong-disorder fixed point characterized by a singular disorder correlator whose functional dependence assumes a cuspy form that is related to the existence of metastable states. At nonzero momentum scale, quantum tunneling between these metastable states leads to a rounding of the nonanalyticity in a quantum boundary layer that encodes the existence of rare superfluid regions responsible for the ${\omega }^2$ behavior of the (dissipative) conductivity in the low-frequency limit. These results can be understood within the "droplet" picture put forward for the description of glassy (classical) systems.

9 pages, 3 figures (close to published version)

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• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• Chaos in the Bose-glass phase of a one-dimensional disordered Bose fluid
• Is there a Mott-glass phase in a one-dimensional disordered quantum fluid with linearly confining interactions?
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Dimensional reduction breakdown and correction to scaling in the random-field Ising model
• Flowing bosonization in the nonperturbative functional renormalization-group approach
• Superfluid--Bose-glass transition in a system of disordered bosons with long-range hopping in one dimension
• Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas