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Sensing Floquet-Majorana fermions via heat transfer

Molignini, Paolo and van Nieuwenburg, Evert and Chitra, R. (2017) Sensing Floquet-Majorana fermions via heat transfer. Physical Review B, 96 (12). Art. No. 125144. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20171012-133910331

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Abstract

Time periodic modulations of the transverse field in the closed XY spin-1/2 chain generate a very rich dynamical phase diagram, with a hierarchy of Z_n topological phases characterized by differing numbers of Floquet-Majorana modes. This rich phase diagram survives when the system is coupled to dissipative end reservoirs. Circumventing the obstacle of preparing and measuring quasienergy configurations endemic to Floquet-Majorana detection schemes, we show that stroboscopic heat transport and spin density are robust observables to detect both the dynamical phase transitions and Majorana modes in dissipative settings. We find that the heat current provides very clear signatures of these Floquet topological phase transitions. In particular, we observe that the derivative of the heat current, with respect to a control parameter, changes sign at the boundaries separating topological phases with differing nonzero numbers of Floquet-Majorana modes. We present a simple scheme to directly count the number of Floquet-Majorana modes in a phase from the Fourier transform of the local spin density profile. Our results are valid provided the anisotropies are not strong and can be easily implemented in quantum engineered systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.96.125144DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.125144PublisherArticle
https://arxiv.org/abs/1701.05206arXivDiscussion Paper
Additional Information:© 2017 American Physical Society. Received 8 December 2016; revised manuscript received 13 July 2017; published 22 September 2017. This project is supported by the SNF Grant No. P2EZP2 172185, Giulio Anderheggen, and the ETH Zürich Foundation.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)P2EZP2 172185
Giulio AnderheggenUNSPECIFIED
ETH Zürich FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20171012-133910331
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171012-133910331
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82318
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Oct 2017 22:01
Last Modified:12 Oct 2017 22:01

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