Ruelle resonances in kicked quantum spin chain |
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| Affiliation: | 1. Departamento de Matemáticas, CINVESTAV, Apartado Postal 14-740, C.P. 07000, México, D.F., Mexico;2. Departamento de Matemáticas, Universidad de los Andes, Carrera 1 N. 18A - 10, Bogotá, Colombia;3. Departamento de Matemáticas y Estadística, Universidad del Norte, Km 5 via Puerto Colombia, Barranquilla, Colombia;1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700064, India;2. Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India;1. Department of Mathematics, Cergy-Pontoise University, 95000 Cergy-Pontoise, France;2. Department of Theoretical Physics, Paul Sabatier University, 31062 Toulouse, France |
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| Abstract: | We study exponential decay of high temperature time correlation functions in a non-integrable quantum spin chain problem, namely Ising spin 1/2 chain kicked with tilted homogeneous magnetic field. For this purpose we define a master propagator over a suitable banach space of quantum observables (quantum many-body analogue of Perron–Frobenius operator) whose leading eigenvalue determines the asymptotic decay of correlations. This is demonstrated with explicit calculation for which a fast algorithm for the construction of the master propagator is developed. |
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