Mobility edges through inverted quantum many-body scarring

Abstract

We show that the rainbow state, which has volume law entanglement entropy for most choices of bipartitions, can be embedded in a many-body localized spectrum. For a broad range of disorder strengths in the resulting model, we numerically find a narrow window of highly entangled states in the spectrum, embedded in a sea of area law entangled states. The construction hence embeds mobility edges in many-body localized systems. This can be thought of as the complement to many-body scars, an `inverted quantum many-body scar', providing a further type of setting where the eigenstate thermalization hypothesis is violated.

6 pages, 4 figures, v2: accepted version

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Cited by in corpus (7)

• Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
• Disorder-tunable entanglement at infinite temperature
• Tower of two-dimensional scar states in a localized system
• Universal Freezing Transitions of Dipole-Conserving Chains
• Delocalization in a partially disordered interacting many-body system
• ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
• Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder