scholarly journals Barrier from chaos: operator entanglement dynamics of the reduced density matrix

2019 ◽  
Vol 2019 (12) ◽  
Author(s):  
Huajia Wang ◽  
Tianci Zhou
Keyword(s):  
Density Matrix ◽  
Reduced Density Matrix ◽  
Entanglement Dynamics ◽  
Operator Entanglement ◽  
Reduced Density

scholarly journals Entanglement Dynamics of Random GUE Hamiltonians

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Daniel Chernowitz ◽  
Vladimir Gritsev
Keyword(s):  
Density Matrix ◽  
Spin Glass ◽  
Time Evolution ◽  
Random Matrices ◽  
Correlation Functions ◽  
Transverse Field ◽  
Reduced Density Matrix ◽  
Entanglement Dynamics ◽  
Point Correlation ◽  
Reduced Density

In this work, we consider a model of a subsystem interacting with a reservoir and study dynamics of entanglement assuming that the overall time-evolution is governed by non-integrable Hamiltonians. We also compare to an ensemble of Integrable Hamiltonians. To do this, we make use of unitary invariant ensembles of random matrices with either Wigner-Dyson or Poissonian distributions of energy. Using the theory of Weingarten functions, we derive universal average time evolution of the reduced density matrix and the purity and compare these results with several physical Hamiltonians: randomized versions of the transverse field Ising and XXZ models, Spin Glass and, Central Spin and SYK model. The theory excels at describing the latter two. Along the way, we find general expressions for exponential n-point correlation functions in the gas of GUE eigenvalues.

Density matrix and purity evolution in dissipative two-level systems: II. Relaxation

2021 ◽  
Author(s):  
Sambarta Chatterjee ◽  
Nancy Makri
Keyword(s):  
Density Matrix ◽  
Time Evolution ◽  
Reduced Density Matrix ◽  
Level System ◽  
Two Level Systems ◽  
Reduced Density ◽  
Harmonic Bath

We investigate the time evolution of the reduced density matrix (RDM) and its purity in the dynamics of a two-level system coupled to a dissipative harmonic bath, when the system is initially placed in one of its eigenstates.

scholarly journals Reexamining the variational two-particle reduced density matrix for nuclear systems

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
J. G. Li ◽  
N. Michel ◽  
W. Zuo ◽  
F. R. Xu
Keyword(s):  
Density Matrix ◽  
Reduced Density Matrix ◽  
Nuclear Systems ◽  
Reduced Density
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