Disorder-induced two-body localised state in interacting quantum walks

Abstract

We observe the onset of non-ergodicity from ballistic propagation of a two-body bound state in an interacting discrete-time quantum walk (DTQW) due to time-dependent disorder in the interaction. The effect of the disorder on the two-body state can be interpreted as Anderson-type localisation in a projected DTQW, but without saturation of entanglement entropy. We characterise the two-body localisation in terms of the rate of growth of entanglement entropy and compute the localisation length. We find indications for two distinct growth laws for the entanglement: a logarithmic law in the delocalised phase and a double logarithmic law in the localised phase. We discuss similarities with many-body localisation (MBL).

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Cited by in corpus (7)

• Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity
• Robustness of Aharonov-Bohm cages in quantum walks
• Discrete time quantum walk of locally interacting walkers
• Two particles on a chain with disordered interaction: Localization and dissociation of bound states and mapping to chaotic billiards
• Quantum walkers in a disordered lattice with power-law hopping