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Area law in the exact solution of many-body localized systems

Mozgunov, Evgeny (2017) Area law in the exact solution of many-body localized systems. . (Submitted)

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Many-body localization was proven under realistic assumptions by constructing a quasi-local unitary rotation that diagonalizes the Hamiltonian (Imbrie, 2016). A natural generalization is to consider all unitaries that have a similar structure. We bound entanglement for states generated by such unitaries, thus providing an independent proof of area law in eigenstates of many-body localized systems. An error of approximating the unitary by a finite-depth local circuit is obtained. We connect the defined family of unitaries to other results about many-body localization (Kim et al, 2014), in particular Lieb-Robinson bound. Finally we argue that any Hamiltonian can be diagonalized by such a unitary, given it has a slow enough logarithmic lightcone in its Lieb-Robinson bound.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Group:UNSPECIFIED, Institute for Quantum Information and Matter
Record Number:CaltechAUTHORS:20171103-150936253
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82949
Deposited By: Bonnie Leung
Deposited On:03 Nov 2017 22:49
Last Modified:04 Jun 2020 10:14

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