Dynamics of Open Quantum Systems

作者: Gernot Schaller

DOI: 10.1007/978-3-319-03877-3_1

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摘要: This chapter provides a brief introduction to quantum systems that are coupled large reservoirs. It aims remind the reader of well-known concepts necessary for understanding book and does not claim provide self-contained introduction. starts with summary conventions used in then introduces master equations some examples. also requires us introduce density matrix: among other things, we discuss its evolution closed system under measurements. To connect system-reservoir theories, review definition tensor product partial trace. Finally, Lindblad form equation properties before closing remarks on superoperator representation equations.

参考文章(21)
Francesco Petruccione, Heinz-Peter Breuer, The Theory of Open Quantum Systems ,(2002)
Lov K. Grover, Fixed-Point Quantum Search Physical Review Letters. ,vol. 95, pp. 150501- 150501 ,(2005) , 10.1103/PHYSREVLETT.95.150501
Isaac L. Chuang, Michael A. Nielsen, Quantum Computation and Quantum Information ,(2000)
J. D. Dollard, A. Böhm, Karl Kraus, W. H. Wootters, States, Effects, and Operations: Fundamental Notions of Quantum Theory ,(1983)
J. Ignacio Cirac, Peter Zoller, New frontiers in quantum information with atoms and ions Physics Today. ,vol. 57, pp. 38- 44 ,(2004) , 10.1063/1.1712500
Rafael Sánchez, Markus Büttiker, Optimal energy quanta to current conversion Physical Review B. ,vol. 83, pp. 085428- ,(2011) , 10.1103/PHYSREVB.83.085428
R. Coldea, D. A. Tennant, E. M. Wheeler, E. Wawrzynska, D. Prabhakaran, M. Telling, K. Habicht, P. Smeibidl, K. Kiefer, Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry Science. ,vol. 327, pp. 177- 180 ,(2010) , 10.1126/SCIENCE.1180085
Noah Linden, Sandu Popescu, Anthony J. Short, Andreas Winter, Quantum mechanical evolution towards thermal equilibrium. Physical Review E. ,vol. 79, pp. 061103- ,(2009) , 10.1103/PHYSREVE.79.061103
G. Lindblad, On the Generators of Quantum Dynamical Semigroups Communications in Mathematical Physics. ,vol. 48, pp. 119- 130 ,(1976) , 10.1007/BF01608499
Jiangfeng Du, Nanyang Xu, Xinhua Peng, Pengfei Wang, Sanfeng Wu, Dawei Lu, NMR implementation of a molecular hydrogen quantum simulation with adiabatic state preparation. Physical Review Letters. ,vol. 104, pp. 030502- ,(2010) , 10.1103/PHYSREVLETT.104.030502