Topological Rényi Entropy after a Quantum Quench
نویسندگان
چکیده
منابع مشابه
Entropy of isolated quantum systems after a quench.
A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum systems. We study this quantity after an interaction quench in lattice hard-core bosons and spinless fermions, and after a local chemical potential quench in a sys...
متن کاملTopological Order Following a Quantum Quench
Dimitris I. Tsomokos, Alioscia Hamma, Wen Zhang, Stephan Haas, Rosario Fazio School of Physics and Astronomy, University of Hertfordshire, Hatfield AL10 9AB, UK Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy Department of Mathematics, Royal Holloway, University of London, Egham, TW20 0EX, UK Perimeter Institute for Theoretical Physics, 31 Caroline St. N, N2L 2Y5, Waterloo O...
متن کاملDensity of Topological Defects After a Quench
We present results of numerical studies of the Landau-Ginzburg dynamics of the order parameter in one-dimensional models inspired by the condensed matter analogues of cosmological phase transitions. The main goal of our work is to show that, as proposed by one of us [1], the density of the frozen-out topological defects is set by the competition between the quench rate — the rate at which the p...
متن کاملA Preferred Definition of Conditional Rényi Entropy
The Rényi entropy is a generalization of Shannon entropy to a one-parameter family of entropies. Tsallis entropy too is a generalization of Shannon entropy. The measure for Tsallis entropy is non-logarithmic. After the introduction of Shannon entropy , the conditional Shannon entropy was derived and its properties became known. Also, for Tsallis entropy, the conditional entropy was introduced a...
متن کاملTopological entanglement Rényi entropy and reduced density matrix structure.
We generalize the topological entanglement entropy to a family of topological Rényi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Rényi entropies are the same, independent of alpha for all nonchiral topological phases. This independence shows that topologically ordere...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2013
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.110.170605