Out-of-Equilibrium Dynamics with Matrix Product States

Wall, Michael L.

doi:10.1007/978-3-319-14252-4_7

Cited by 1 publication

(2 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Alternatively, in order to calculate two-point correlation functions in the form of Eq. 17, we employed the time-dependent variational principle (TDVP) [68][69][70][71] by simultaneous implementation of bosonic and fermionic MPS representations 72,73 for the original model ( 4) at L = 32.…”

Section: A Numerical Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Emergent statistical bubble localization in aZ2lattice gauge theory

2019

View full text Add to dashboard Cite

We introduce a clean cluster spin chain coupled to fully interacting spinless fermions, forming an unconstrained Z2 lattice gauge theory (LGT) which possesses dynamical proximity effect controlled by the entanglement structure of the initial state. We expand the machinery of interaction-driven localization to the realm of LGTs such that for any starting product state, the matter fields exhibits emergent statistical bubble localization, which is driven solely by the cluster interaction, having no topologically trivial non-interacting counterpart, and thus is of a pure dynamical many-body effect. In this vein, our proposed setting provides possibly the minimal model dropping all the conventional assumptions regarding the existence of many-body localization. Through projective measurement of local constituting species, we also identify the coexistence of the disentangled nonergodic matter and thermalized gauge degrees of freedom which stands completely beyond the standard established phenomenology of quantum disentangled liquids. As a by product of self-localization of the proximate fermions, the spin subsystem hosts the long-lived topological edge zero modes, which are dynamically decoupled from the thermalized background Z2 charges of the bulk, and hence remains cold at arbitrary highenergy density. This provides a convenient platform for strong protection of the quantum bits of information which are embedded at the edges of completely ergodic sub-system; the phenomenon that in the absence of such proximity-induced self-localization could, at best, come about with a pre-thermal manner in translational invariant systems. Finally, by breaking local Z2 symmetry of the model, we argue that such admixture of particles no longer remains disentangled and the ergodic gauge degrees of freedom act as a "small bath" coupled to the localized components. arXiv:1810.08434v2 [cond-mat.str-el]

show abstract

Section: A Numerical Methodsmentioning

confidence: 99%

“…G960208, and CPU time from LSPR, Sputtering and Cosmo HPC machines. Our numerical schemes are based on the PETSc 65,66 , SLEPc 67 and open source MPS libraries 72,73 .…”

mentioning

confidence: 99%