Geometric phase curvature for random states. (26th October 2018)

• Record Type: Journal Article
• Authors: Berry, M V; Shukla, Pragya
• Is Part Of: Journal of physics. Volume 51:Number 47(2018)
• Publication Date: 2018-10-26
• Subjects: random-matrix -- 2-form -- quantum statistics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aae5dd
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: The probability distribution of the geometric curvature C (2-form) governing the geometric phase of transported quantum states is calculated for N × N matrix Hamiltonians generated from the Gaussian unitary ensemble, and depending on two parameters x, y . The distributions take the form of scaling functions, different for N = 2 and N > 2 but both decaying asymptotically as 1/| C | 5/2, with scalings depending on x, y and N .