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We consider quantum systems consisting of a " small " system coupled to two reservoirs (called open systems). We show that such a system has no equilibrium states normal with respect to any state of the decoupled system in which the reservoirs are at different temperatures, provided that either the temperatures or the temperature difference divided by the… (More)

- M Merkli, I M Sigal, G P Berman
- 2007

We present a rigorous analysis of the phenomenon of decoherence for general N −level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We apply our general results to the specific cases of the qubit and the quantum register. We compare our results with the explicitly solvable case of systems whose interaction with the… (More)

In this paper we further develop a general theory of metastable states resulting from perturbation of unstable eigenvalues. We apply this theory to many-body Schrödinger operators and to the problem of quasiclassical tunneling.

- J Fröhlich, M Merkli, S Schwarz, D Ueltschi
- 2003

This note is dedicated to H. Ezawa on the occasion of his 70 th birthday, with respect and affection. 1 Time-dependent thermodynamic processes In this note we describe some results concerning non-relativistic quantum systems at positive temperature and density confined to macroscopically large regions, Λ, of physical space R 3 which are under the influence… (More)

We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields). We show that the combined system has a family of stationary states, parametrized by two numbers T1, T2 (" reservoir temperatures "). If T1 = T2, then these states are non-equilibrium,… (More)

We study the stationary states of a quantum mechanical system describing an atom coupled to black-body radiation at positive temperature. The stationary states of the non-interacting system are given by product states, where the particle is in a bound state corresponding to an eigenvalue of the particle Hamiltonian, and the field is in its equilibrium… (More)

We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields) at different temperatures T1 and T2. We show that if T1 is not equal to T2 then the combined system has a stationary, non-equilibrium state (NESS). We show that this state has nonvanishing heat… (More)

- S De Bièvre, M Merkli
- 2006

We give a complete and rigorous proof of the Unruh effect, in the following form. We show that the state of a two-level system, uniformly accelerated with proper acceleration a, and coupled to a scalar bose field initially in the Minkowski vacuum state will converge, asymptotically in the detector's proper time, to the Gibbs state at inverse temperature β =… (More)

- G. L. Celardo, F. Borgonovi, M. Merkli, V. I. Tsifrinovich, G. P. Berman
- 2011

We investigate the role of long-lasting quantum coherence in the efficiency of energy transport at room temperature in Fenna-Matthews-Olson photosynthetic complexes. The excitation energy transfer due to the coupling of the light harvesting complex to the reaction center (" sink ") is analyzed using an effective non-Hermitian Hamiltonian. We show that, as… (More)

- J Theor Probab, Andrew Ledoan, Marco Merkli, Shannon Starr, A Ledoan, S Starr +1 other
- 2010

We consider random analytic functions defined on the unit disk of the complex plane f (z) = ∞ n=0 a n X n z n , where the X n 's are i.i.d., complex-valued random variables with mean zero and unit variance. The coefficients a n are chosen so that f (z) is defined on a domain of C carrying a planar or hyperbolic geometry, and Ef (z)f (w) is covariant with… (More)