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(Seminar) The First Law of Complexity
2019-07-04     Text Size:  A

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

The First Law of Complexity

Speaker

报告人

阮善明

Affiliation

所在单位

Perimeter institute

Date

日期

10:00, Jul. 4, 2019

Venue

地点

ITP South Building 6420

Abstract

摘要

In this talk, I will introduce our recent work on the variations of complexity for two nearby target states. Based on Nielsen’s geometric approach, we find the variation only depends on the endpoint of the optimal trajectory, a result which we designate the first law of complexity. As an example, we examine the complexity=action conjecture when the AdS vacuum is perturbed by a scalar field excitation, which corresponds to a coherent state. Remarkably the gravitational contributions to the variation completely cancel, leaving the final variation to come entirely from the scalar field action on the boundary. From the simple result, we are led to speculate that the boundary of the WDW patch (null surface) may correspond to the ‘end of the quantum circuit”.  Reference: “ The First Law of Complexity ”, arXiv: 1903.04511

Contact Person

所内联系人

蔡荣根

  Appendix:
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