Discrepancies between decoherence and the Loschmidt echo
نویسندگان
چکیده
منابع مشابه
Decoherence and Noise in Loschmidt Echo Experiments
We discuss some recent results concerning the decoherence in controlled quantum open systems within the mathematical setting corresponding to motion reversal experiments (the Loschmidt echo). We compare the case of randomly chosen sequence of unitary dynamical maps with the case of a constant dynamics corresponding to a classically chaotic evolution. The interplay between chaos and decoherence ...
متن کاملThe Loschmidt Echo in Classically Chaotic Systems: Quantum Chaos, Irreversibility and Decoherence
The Loschmidt echo (LE) is a measure of the sensitivity of quantum mechanics to perturbations in the evolution operator. It is defined as the overlap of two wave functions evolved from the same initial state but with slightly different Hamiltonians. Thus, it also serves as a quantification of irreversibility in quantum mechanics. In this thesis the LE is studied in systems that have a classical...
متن کاملDecoherence and Loschmidt echoes: Quantum against Classical
Studies of stability of quantum time evolution with respect to small variation in the Hamiltonian have attracted considerable interest in recent years [1–5]. Quite remarkable is the fact that the problem has been practically intact until 2001, with exception of experimental studies of the group of Pastawski [6] in the mid 1990’s. However, one has to mention the pioneering paper of Peres in 1984...
متن کاملLoschmidt echo for a chaotic oscillator.
Chaotic dynamics of a nonlinear oscillator is considered in the semiclassical approximation. The Loschmidt echo as a measure of quantum stability to a time dependent variation is calculated. It is shown that an exponential decay of the Loschmidt echo is due to a Lyapunov exponent and it has a pure classical nature. The Lyapunov regime is observed for a time scale which is of the power law in se...
متن کاملLoschmidt-echo decay from local boundary perturbations.
We investigate the sensitivity of the time evolution of semiclassical wave packets in two-dimensional chaotic billiards with respect to local perturbations of their boundaries. For this purpose, we address, analytically and numerically, the time decay of the Loschmidt echo (LE). We find the LE to decay exponentially in time, with the rate equal to the classical escape rate from an open billiard...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2010
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/89/50009