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UID:d61976ca2de932393ee6704ffbdad122
CATEGORIES:Mathematical Physics Seminar
CREATED:20220822T145429
SUMMARY:Dynamics of Qubits in Random Matrix Environment
LOCATION:Zoom
DESCRIPTION:Abstract\nWe consider a model of a quantum system of two qubits embedded in
 to an environment. We assume that the environment parts of the system Hamil
 tonian are described by hermitian random matrices of size N. We obtain the 
 large N limit of the time dependent reduced density matrix of the qubits. W
 e then work out an analog of the Bogolyubov-van Hove asymptotic regime of t
 he theory of open systems in statistical mechanics. This regime does not im
 ply in general the Markovian dynamics of the reduced density matrix of our 
 model.\nThis model allows for a analytical and numerical analysis of the ev
 olution of widely used quantifiers of quantum correlations, mainly entangle
 ment. We find a variety of interesting patterns of qubit dynamics. The patt
 erns demonstrate the important role of the environment in the enhancement a
 nd the diversification of the evolution of quantum correlations. Our result
 s can also be viewed as a manifestation of the universality of certain prop
 erties of the decoherent qubit evolution that have been found in various ex
 act and approximate versions of the models where the environment is describ
 ed by free bosons.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract<br />We consider a model of a quantum system of two qubits embe
 dded into an environment. We assume that the environment parts of the syste
 m Hamiltonian are described by hermitian random matrices of size N. We obta
 in the large N limit of the time dependent reduced density matrix of the qu
 bits. We then work out an analog of the Bogolyubov-van Hove asymptotic regi
 me of the theory of open systems in statistical mechanics. This regime does
  not imply in general the Markovian dynamics of the reduced density matrix 
 of our model.<br />This model allows for a analytical and numerical analysi
 s of the evolution of widely used quantifiers of quantum correlations, main
 ly entanglement. We find a variety of interesting patterns of qubit dynamic
 s. The patterns demonstrate the important role of the environment in the en
 hancement and the diversification of the evolution of quantum correlations.
  Our results can also be viewed as a manifestation of the universality of c
 ertain properties of the decoherent qubit evolution that have been found in
  various exact and approximate versions of the models where the environment
  is described by free bosons.</p>
CONTACT:Leonid Pastur - Institute for Low Temperatures Physics and Engineering Kharkiv, Ukraine Institut des Hautes Etudes Scien
DTSTAMP:20260828T175828
DTSTART;TZID=America/New_York:20220831T104500
DTEND;TZID=America/New_York:20220831T114500
SEQUENCE:0
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