Area law in the exact solution of many-body localized systems
- Creators
- Mozgunov, Evgeny
Abstract
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.
Attached Files
Submitted - 1708.08069.pdf
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Additional details
- Eprint ID
- 82949
- Resolver ID
- CaltechAUTHORS:20171103-150936253
- Created
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2017-11-03Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter