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MINIMIZATION OF MIXING TIME IN RUDNER–LEVITOV CHAINS BY OPTIMIZING THE INITIAL STATE
Abstract
The mixing process in Rudner–Levitov chains, which are a one-dimensional lattice of bosonic modes with designed losses in every second mode, has been studied. It is shown that by choosing the initial excitation in the system in a special way, it is possible to achieve a significant reduction in the mixing time. For an initial state localized in one mode, it is necessary to choose the eigenvector of the effective Hamiltonian, that corresponds to a non-zero eigenvalue of the effective Hamiltonian with the smallest absolute value of the imaginary part. The initial state, localized in two or more modes, must be chosen so that it is orthogonal to this eigenvector.
About the Authors
M. A. Antsukh
Belarusian State University
Belarus
Belarus
Minsk
P. A. Leonik
Belarusian State University
Belarus
Belarus
Minsk
I. A. Peshko
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
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Review
For citations:
Antsukh M.A., Leonik P.A., Peshko I.A. MINIMIZATION OF MIXING TIME IN RUDNER–LEVITOV CHAINS BY OPTIMIZING THE INITIAL STATE. Zhurnal Prikladnoii Spektroskopii. 2025;92(1):109-113. (In Russ.)
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