We construct exact steady states of unitary nonequilibrium time evolution in the gapless XXZ spin-1/2 chain where integrability preserves ballistic spin transport at long times. We characterize the quasilocal conserved quantities responsible for this feature and introduce a computationally effective way to evaluate their expectation values on generic matrix product initial states. We employ this approach to reproduce the long-time limit of local observables in all quantum quenches which explicitly break particle-hole or time-reversal symmetry. We focus on a class of initial states supporting persistent spin currents and our predictions remarkably agree with numerical simulations at long times. Furthermore, we propose a protocol for this model where interactions, even when antiferromagnetic, are responsible for the unbounded growth of a macroscopic magnetic domain.

Nonequilibrium spin transport in integrable spin chains: Persistent currents and emergence of magnetic domains / De Luca, Andrea; Collura, Mario; De Nardis, Jacopo. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 96:2(2017), pp. 1-5. [10.1103/PhysRevB.96.020403]

Nonequilibrium spin transport in integrable spin chains: Persistent currents and emergence of magnetic domains

De Luca, Andrea;Collura, Mario;De Nardis, Jacopo
2017

Abstract

We construct exact steady states of unitary nonequilibrium time evolution in the gapless XXZ spin-1/2 chain where integrability preserves ballistic spin transport at long times. We characterize the quasilocal conserved quantities responsible for this feature and introduce a computationally effective way to evaluate their expectation values on generic matrix product initial states. We employ this approach to reproduce the long-time limit of local observables in all quantum quenches which explicitly break particle-hole or time-reversal symmetry. We focus on a class of initial states supporting persistent spin currents and our predictions remarkably agree with numerical simulations at long times. Furthermore, we propose a protocol for this model where interactions, even when antiferromagnetic, are responsible for the unbounded growth of a macroscopic magnetic domain.
96
2
1
5
020403(R)
https://arxiv.org/abs/1612.07265
De Luca, Andrea; Collura, Mario; De Nardis, Jacopo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/103460
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