Khan, Rifath and Krishnan, Chethan and Sharma, Sanchita (2018) Circuit complexity in fermionic field theory. In: PHYSICAL REVIEW D, 98 (12).
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Abstract
We define and calculate versions of complexity for free fermionic quantum field theories in 1 + 1 and 3 + 1 dimensions, adopting Nielsen's geodesic perspective in the space of circuits. We do this both by discretizing and identifying appropriate classes of Bogoliubov-Valatin transformations, and also directly in the continuum by defining squeezing operators and their generalizations. As a closely related problem, we consider cMERA tensor networks for fermions: viewing them as paths in circuit space, we compute their path lengths. Certain ambiguities that arise in some of these results because of cutoff dependence are discussed.
| Item Type: | Journal Article |
|---|---|
| Publication: | PHYSICAL REVIEW D |
| Publisher: | AMER PHYSICAL SOC |
| Additional Information: | Copyright of this article belongs to AMER PHYSICAL SOC |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 02 Jan 2019 17:00 |
| Last Modified: | 02 Jan 2019 17:00 |
| URI: | http://eprints.iisc.ac.in/id/eprint/61284 |
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