The Theory of Open Quantum Systems

Portada
Oxford University Press, 2002 - 625 páginas
This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examples from a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.
 

Índice

I
8
II
9
III
11
V
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VI
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VIII
17
IX
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X
21
CXXVII
330
CXXVIII
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CXXIX
336
CXXX
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CXXXI
342
CXXXIII
345
CXXXIV
348
CXXXV
350

XI
28
XII
32
XIII
33
XV
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XVI
39
XVII
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XIX
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XX
51
XXI
57
XXII
59
XXV
63
XXVI
65
XXVII
70
XXVIII
74
XXIX
75
XXX
77
XXXI
79
XXXIII
81
XXXIV
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XXXV
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XXXVII
85
XXXVIII
87
XXXIX
92
XL
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XLI
96
XLII
102
XLIII
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XLIV
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XLV
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XLVI
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XLVII
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XLVIII
115
XLIX
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LI
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LII
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LIII
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LIV
128
LV
130
LVII
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LVIII
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LIX
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LX
141
LXII
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LXIV
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LXV
154
LXVI
160
LXVII
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LXIX
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LXX
172
LXXII
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LXXIII
182
LXXIV
192
LXXV
201
LXXVII
203
LXXVIII
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LXXIX
208
LXXX
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LXXXI
216
LXXXII
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LXXXIII
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LXXXIV
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LXXXVI
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LXXXVII
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LXXXVIII
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LXXXIX
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XC
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XCI
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242
XCV
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XCVI
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XCVIII
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XCIX
262
C
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CI
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CIII
270
CIV
275
CV
278
CVI
283
CVII
288
CVIII
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CX
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CXI
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CXII
299
CXIV
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CXV
302
CXVI
303
CXVII
304
CXIX
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CXX
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CXXI
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CXXII
320
CXXIII
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CXXIV
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CXXV
324
CXXXVI
354
CXXXVII
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CXXXVIII
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CXXXIX
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CXLI
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CXLV
368
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CXLVIII
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CXLIX
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CLI
377
CLII
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CLIII
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CLIV
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CLV
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CLVI
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CLIX
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CLX
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CLXI
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CLXIII
405
CLXIV
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CLXV
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CLXVI
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CLXVII
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CLXVIII
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CLXIX
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CLXX
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CLXXI
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CLXXII
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CLXXIII
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CLXXIV
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CLXXV
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CLXXVIII
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CLXXIX
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CLXXX
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CLXXXI
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CLXXXII
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CLXXXIII
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CLXXXIV
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CLXXXVI
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CLXXXIX
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CXC
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CXCV
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CXCVI
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CXCVII
488
CXCVIII
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CC
491
CCI
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CCIII
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CCIV
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CCV
501
CCVI
502
CCVIII
506
CCIX
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CCX
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CCXI
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CCXII
514
CCXIII
517
CCXIV
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CCXV
523
CCXVI
526
CCXVII
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CCXVIII
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CCXIX
536
CCXX
538
CCXXI
544
CCXXII
550
CCXXIII
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CCXXIV
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CCXXV
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CCXXVII
560
CCXXVIII
562
CCXXIX
565
CCXXX
568
CCXXXI
569
CCXXXIII
576
CCXXXIV
577
CCXXXVI
583
CCXXXVII
585
CCXXXVIII
588
CCXXXIX
589
CCXL
593
CCXLI
596
CCXLII
607
CCXLIII
614
CCXLIV
617
CCXLV
619
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Sobre el autor (2002)

Heinz-Peter BreuerBorn Issum, Germany 19.12.61Address:Facultaet fuer PhysikUniversitaet FreiburgHermann-Herder-Str. 3D-79104 Frieburg i. Br., Germanytel: 49 (0) 761 203 5828fax: 49 (0) 761 203 5967 (5781)breuer@physik.uni-freiburg.deFrancesco PetruccioneBorn Genoa, Italy 06.07.61Address:Facultaet fuer PhysikUniversitaet FreiburgHermann-Herder-Str. 3D-79104 Frieburg i. Br., Germanytel: 49 (0) 761 203 5828fax: 49 (0) 761 203 5967 (5781)petruccione@physik.uni-freiburg.de

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