A Physical Theory of Two-stage Thermalization
- URL: http://arxiv.org/abs/2310.04491v1
- Date: Fri, 6 Oct 2023 18:00:01 GMT
- Title: A Physical Theory of Two-stage Thermalization
- Authors: Cheryne Jonay, Tianci Zhou
- Abstract summary: Circuit geometry can lead to phantom eigenvalue"
When the domain wall wins, this mechanism provides a practical approach for measuring entanglement growth through local correlation functions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: One indication of thermalization time is subsystem entanglement reaching
thermal values. Recent studies on local quantum circuits reveal two exponential
stages with decay rates $r_1$ and $r_2$ of the purity before and after
thermalization. We provide an entanglement membrane theory interpretation, with
$r_1$ corresponding to the domain wall free energy. Circuit geometry can lead
to $r_1 < r_2$, producing a ``phantom eigenvalue". Competition between the
domain wall and magnon leads to $r_2 < r_1$ when the magnon prevails. However,
when the domain wall wins, this mechanism provides a practical approach for
measuring entanglement growth through local correlation functions.
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