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Errata

• General: For some reason that I do not understand, the index is a bit of mess. Please add to the page numbers in the index a random number taken from {0,1,2,3,4,5} to increase your chances to hit the right page…
• Here and there: I’ve been a bit sloppy with the use of the word “extensivity”, which sometimes need be replaced by “additivity”, for instance, in and around Exercise 2.26 on page 9.2.¹
• Page 20: Typo in the line above eqn (1.48): It has to read
• Page 49, below eqn (2.17): Equivalence of ensembles applies not if the density of states grows quickly enough, but if the Boltzmann entropy is a concave function of energy.
• Page 54: In the first paragraph of the “Rate master equation” section: the stochastic matrices need be normalized for all and not all , of course.
• Page 73, below eqn (2.89): There should be no star * on
• Page 106: In eqn (3.8) and twice below need be replaced by [noticed by Hector Silva]
• Page 113, Fig. 3.1: I only plot the real part of the correlation function.
• Page 123, Exercise 3.12: In the Hint the operator should be instead of
• Page 138, Exercise 3.19: Please replace \pi by \pi^\star in eqns (3.103) and (3.104). [noticed by Ludovico Tesser]
• Page 145: There is a missing at the beginning of the fourth line below eqn (3.120). [noticed by Cyril Elouard and Camille Latune]
• Page 155: For the steady state regime in eqn (3.153) it is necessary to assume that is periodic with period
• Page 222: References about TURs: I was too quick by stating that “generalized TURs could only be established in the linear response regime”. There are a couple of interesting generalizations, even though they involve some backwards quantities. Check out this or that. [Communicated by Patrick Potts.]
• Page 252+: In Sec. 5.6 there is some inconsistent notation for the system-ancilla and preparation-ancilla interaction Hamiltonian: I switch between V_{PA} and H_{PA} or V_{SA} and H_{SA}, but I always mean the same object. [noticed by Ludovico Tesser]
• Page 254: Eqns (5.101) and (5.102): \ln(iU) should be replaced by i\ln(U). [noticed by Ludovico Tesser]
• Eqn (B.30): Please replace a_1, b_1 of the first unitary time-evolution (super)operator by a’_1, b’_1 and a_0, b_0 of the second unitary time-evolution (super)operator by a’_0, b’_0 (as in the two equations above). [noticed by Ludovico Tesser]

1. Extensivity refers to one substance and looks something like , where is some state function (such as internal energy), the geometric volume and some scale. Additivity instead refers to two (or more) potentially different substances, e.g., . ↩︎