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Quantum dissipative systems
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Description
Rating
Title
Quantum
dissipative
systems
Creator
Weiss, U. (Ulrich)
Contributors
World Scientific (Firm)
DescriptionAbstract
Starting
from
first
principles
, this
book
introduces
the
fundamental
concepts
and
methods
of
dissipative
quantum
mechanics
and
explores
related
phenomena
in
condensed
matter
systems
.
Major
experimental
achievements
in
cooperation
with
theoretical
advances
have
brightened
the
field
and
brought
it
to the
attention
of the
general
community
in
natural
sciences
.
Nowadays
,
working
knowledge
of
dissipative
quantum
mechanics
is
an
essential
tool
for
many
physicists
. This
book

originally
published
in
1990
and
republished
in
1999
and and
2008
as
enlarged
second
and
third
editions

delves
significantly
deeper
than
ever
before
into the
fundamental
concepts
,
methods
and
applications
of
quantum
dissipative
systems
. This
fourth
edition
provides
a
selfcontained
and
updated
account
of the
quantum
mechanics
of
open
systems
and
offers
important
new
material
including
the
most
recent
developments
. The
subject
matter
has been
expanded
by
about
fifteen
percent
.
Many
chapters
have been
completely
rewritten
to
better
cater
to
both
the
needs
of
newcomers
to the
field
and the
requests
of the
advanced
readership
.
Two
chapters
have been
added
that
account
for
recent
progress
in the
field
. This
book
should be
accessible
to
all
graduate
students
in
physics
.
Researchers
will
find
this a
rich
and
stimulating
source
.
DescriptionTable Of Contents
1
.
Introduction

2
.
Diverse
limited
approaches
: a
brief
survey
.
2.1
.
Langevin
equation
for a
damped
classical
system
.
2.2
.
New
schemes
of
quantization
.
2.3
.
Traditional
systemplusreservoir
methods
.
2.4
.
Stochastic
dynamics
in
Hilbert
space

3
.
Systemplusreservoir
models
.
3.1
.
Harmonic
oscillator
bath
with
linear
coupling
.
3.2
.
Ergodicity
.
3.3
. The
spinboson
model
.
3.4
.
Microscopic
models
.
3.5
.
Charging
and
environmental
effects
in
tunnel
junctions
.
3.6
.
Nonlinear
quantum
environments

4
.
Imaginarytime
approach
and
equilibrium
dynamics
.
4.1
.
General
concepts
.
4.2
.
Effective
action
and
equilibrium
density
matrix
.
4.3
.
Partition
function
of the
open
system
.
4.4
.
Quantum
statistical
expectation
values
in
phase
space

5
.
Realtime
path
integrals
and
nonequilibrium
dynamics
.
5.1
.
Statement
of the
problem
and
general
concepts
.
5.2
.
FeynmanVernon
method
for a
product
initial
state
.
5.3
.
Decoherence
and
friction
.
5.4
.
General
initial
states
and
preparation
function
.
5.5
.
Complextime
path
integral
for the
propagating
function
.
5.6
.
Realtime
path
integral
for the
propagating
function
.
5.7
.
Closed
time
contour
representation
.
5.8
.
Semiclassical
regime
.
5.9
.
Stochastic
unraveling
of
influence
functionals
.
5.10
.
NonMarkovian
dissipative
dynamics
in the
semiclassical
limit
.
5.11
.
Brief
summary
and
outlook

6
.
Damped
linear
quantum
mechanical
oscillator
.
6.1
.
Fluctuationdissipation
theorem
.
6.2
.
Stochastic
modeling
.
6.3
.
Susceptibility
.
6.4
. The
position
autocorrelation
function
.
6.5
.
Partition
function
and
implications
.
6.6
.
Mean
square
of
position
and
momentum
.
6.7
.
Equilibrium
density
matrix
.
6.8
.
Quantum
master
equations
for the
reduced
density
matrix

7
.
Quantum
free
motion
.
7.1
.
Spectral
density
,
damping
function
and
mass
renormalization
.
7.2
.
Displacement
correlation
and
response
function
.
7.3
.
Ohmic
friction
.
7.4
.
Frequencydependent
friction
.
7.5
.
Partition
function
and
thermodynamic
properties

8
. The
thermodynamic
variational
approach
.
8.1
.
Centroid
and the
effective
classical
potential
.
8.2
.
Variational
method

9
.
Suppression
of
quantum
coherence
.
9.1
.
Nondynamical
versus
dynamical
environment
.
9.2
.
Suppression
of
transversal
and
longitudinal
interferences
.
9.3
.
Decoherence
in the
semiclassical
picture
.
9.4
.
Decoherence
of
electrons

10
.
Introduction

11
.
Classical
rate
theory
: a
brief
overview
.
11.1
.
Classical
transition
state
theory
.
11.2
.
Moderatetostrongdamping
regime
.
11.3
.
Strong
damping
regime
.
11.4
.
Weakdamping
regime

12
.
Quantum
rate
theory
:
basic
methods
.
12.1
.
Formal
rate
expressions
in
terms
of
flux
operators
.
12.2
.
Quantum
transition
state
theory
.
12.3
.
Semiclassical
limit
.
12.4
.
Quantum
tunneling
regime
.
12.5
.
Free
energy
method
.
12.6
.
Centroid
method

13
.
Multidimensional
quantum
rate
theory
.
13.1
. The
global
metastable
potential
.
13.2
.
Periodic
orbit
and
bounce

14
.
Crossover
from
thermal
to
quantum
decay
.
14.1
.
Normal
mode
analysis
at the
barrier
top
.
14.2
.
Turnover
theory
for
activated
rate
processes
.
14.3
. The
crossover
temperature
. ;
8
15
.
Thermally
activated
decay
.
15.1
.
Rate
formula
above
the
crossover
regime
.
15.2
.
Quantum
corrections
in the
preexponential
factor
.
15.3
. The
quantum
Smoluchowski
equation
approach
.
15.4
.
Multidimensional
quantum
transition
state
theory

16
. The
crossover
region
.
16.1
.
Beyond
steepest
descent
above
T[symbol]
.
16.2
.
Beyond
steepest
descent
below
T[symbol]
.
16.3
. The
scaling
region

17
.
Dissipative
quantum
tunneling
.
17.1
. The
quantum
rate
formula
.
17.2
.
Thermal
enhancement
of
macroscopic
quantum
tunneling
.
17.3
.
Quantum
decay
in a
cubic
potential
for
Ohmic
friction
.
17.4
.
Quantum
decay
in a
tilted
cosine
potential
.
17.5
.
Concluding
remarks

18
.
Introduction
.
18.1
.
Truncation
of the
doublewell
to the
twostate
system
.
18.2
.
Pair
interaction
in the
charge
picture

19
.
Thermodynamics
.
19.1
.
Partition
function
and
specific
heat
.
19.2
.
Ohmic
dissipation
.
19.3
.
NonOhmic
spectral
densities
.
19.4
.
Relation
between
the
Ohmic
TSS
and the
Kondo
model
.
19.5
.
Equivalence
of the
Ohmic
TSS
with the
1/r[symbol]
Ising
model

20
.
Electron
transfer
and
incoherent
tunneling
.
20.1
.
Electron
transfer
.
20.2
.
Incoherent
tunneling
in the
nonadiabatic
regime
.
20.3
.
Single
charge
tunneling

21
.
Twostate
dynamics
:
basics
and
methods
.
21.1
.
Initial
preparation
,
expectation
values
, and
correlations
.
21.2
.
Exact
formal
expressions
for the
system
dynamics
.
21.3
. The
noninteractingblip
approximation
(NIBA)
.
21.4
. The
interactingblip
chain
approximation
(IBCA)

22
.
Twostate
dynamics
:
sundry
topics
.
22.1
.
Symmetric
TSS
in the
NIBA
.
22.2
.
Whitenoise
regime
.
22.3
.
Weak
quantum
noise
in the
biased
TSS
.
22.4
.
Pure
dephasing
.
22.5
.
1/f
noise
and
decoherence
.
22.6
. The
Ohmic
TSS
at and
close
to the
Toulouse
point
.
22.7
.
Longtime
behavior
at
T
=
0 for
K
<
1
:
general
discussion
.
22.8
. From
weak
to
strong
tunneling
:
relaxation
and
decoherence
.
22.9
.
Thermodynamics
from
dynamics

23
. The
driven
twostate
system
.
23.1
.
Timedependent
external
fields
.
23.2
.
Markovian
regime
.
23.3
.
Highfrequency
regime
.
23.4
.
Quantum
stochastic
resonance
.
23.5
.
Drivinginduced
symmetry
breaking

24
.
Quantum
particle
in a
washboard
potential
.
24.1
.
Introduction
.
24.2
.
Weak
and
tightbinding
representation

25
.
Multistate
dynamics
.
25.1
.
Quantum
transport
and
quantumstatistical
fluctuations
.
25.2
.
Poissonian
quantum
transport
.
25.3
.
Exact
formal
expressions
for the
system
dynamics
.
25.4
.
Mobility
and
diffusion
.
25.5
. The
Ohmic
case
.
25.6
.
Exact
solution
in the
Ohmic
scaling
limit
at
K
=
1/2
.
25.7
. The
effects
of a
thermal
initial
state
. ;
8
26
.
Duality
symmetry
.
26.1
.
Duality
for
general
spectral
density
.
26.2
.
Selfduality
in the
exactly
solvable
cases
K
=
1/2
and
K
=
2
.
26.3
.
Duality
and
supercurrent
in
Josephson
junctions
.
26.4
.
Selfduality
in the
Ohmic
scaling
limit
.
26.5
.
Exact
scaling
function
at
T
=
0 for
arbitrary
K
.
26.6
.
Full
counting
statistics
at
zero
temperature
.
26.7
.
Low
temperature
behavior
of the
characteristic
function

27
.
Twisted
partition
function
and
nonlinear
mobility
.
27.1
.
Solving
the
imaginarytime
Coulomb
gas
with
Jack
polynomials
.
27.2
.
Nonlinear
mobility

28
.
Charge
transport
in
quantum
impurity
systems
.
28.1
.
Generic
models
for
transmission
of
charge
through
barriers
.
28.2
.
Selfduality
between
weak
and
strong
tunneling
.
28.3
.
Full
counting
statistics
of
charge
transfer

29
.
Quantum
transport
for
sub
and
superOhmic
friction
.
29.1
.
Tightbinding
representation
.
29.2
.
Weakbinding
representation
.
Publisher
World Scientific Pub. Co.
Subject
Quantum theory.
Quantum statistics.
Mathematical physics.
Thermodynamics.
Path integrals.
Identifier
9789814374927
(electronic
bk.)
;
9814374911
;
9789814374910
;
http://www.worldscientific.com/worldscibooks/10.1142/8334#t=toc
Language
eng
Type
Electronic books.
FormatExtent
xx, 566 p. : ill.
Date
c2012
.
OCLC number
874498037
CONTENTdm number
406
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