Published August 2016
| Version Published + Submitted
Journal Article
Open
On Polynomial Lieb-Robinson Bounds for the XY Chain in a Decaying Random Field
Creators
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1.
King's College London
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2.
Ludwig-Maximilians-Universität München
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3.
California Institute of Technology
Abstract
We consider the isotropic XY quantum spin chain in a random external field in the z direction, with single site distributions given by i.i.d. random variables times the critical decaying envelope j^(−1/2). Our motivation is the study of many-body localization. We investigate transport properties in terms of polynomial Lieb–Robinson (PLR) bounds. We prove a zero-velocity PLR bound for large disorder strength λ and for small λ we show a partial converse, which suggests the existence of a transition to non-trivial transport in the model.
Additional Information
© 2016 Springer International Publishing AG, Part of Springer Science+Business Media. Received: 14 April 2016; Accepted: 26 May 2016; First online: 10 June 2016. We thank David Damanik for pointing us to reference [10]. M.G. is grateful to Gian Michele Graf for his kind hospitality at ETH Zürich. M.G. was supported by the DFG under grant GE 2871/1-1.Attached Files
Published - art_3A10.1007_2Fs10955-016-1558-0.pdf
Submitted - 1601.03383v1.pdf
Files
1601.03383v1.pdf
Additional details
Identifiers
- Eprint ID
- 69278
- Resolver ID
- CaltechAUTHORS:20160728-102053825
Related works
- Describes
- http://arxiv.org/abs/1601.03383 (URL)
Funding
- Deutsche Forschungsgemeinschaft (DFG)
- GE 2871/1-1
Dates
- Created
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2016-07-28Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field