scholarly journals Late time quantum chaos of pure states in random matrices and in the Sachdev-Ye-Kitaev model

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Tokiro Numasawa
Keyword(s):  
Random Matrices ◽  
Quantum Chaos ◽  
Late Time ◽  
Time Quantum ◽  
Kitaev Model ◽  
Pure States

scholarly journals Early-time and late-time quantum chaos

2020 ◽  
Vol 35 (18) ◽  
pp. 2050082
Author(s):  
Chen-Te Ma
Keyword(s):  
Quantum Mechanics ◽  
Coherent State ◽  
Quantum Chaos ◽  
Early Time ◽  
Late Time ◽  
Time Study ◽  
Spectral Form ◽  
Numerical Result ◽  
Direct Extension ◽  
Time Quantum

We show the relation between the Heisenberg averaging of regularized 2-point out-of-time ordered correlation function and the 2-point spectral form factor in bosonic quantum mechanics. The generalization to all even-point is also discussed. We also do the direct extension from the bosonic quantum mechanics to the noninteracting scalar field theory. Finally, we find that the coherent state and large-[Formula: see text] approaches are useful in the late-time study. We find that the computation of the coherent state can be simplified by the Heisenberg averaging. Therefore, this provides a simplified way to probe the late-time quantum chaos through a coherent state. The large-[Formula: see text] result is also comparable to the [Formula: see text] numerical result in the large-[Formula: see text] quantum mechanics. This can justify that large-[Formula: see text] technique in bosonic quantum mechanics can probe the late time, not the early time. Because the quantitative behavior of large-[Formula: see text] can be captured from the [Formula: see text] numerical result, the realization in experiments should be possible.

scholarly journals Sparse Sachdev-Ye-Kitaev model, quantum chaos, and gravity duals

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Antonio M. García-García ◽  
Yiyang Jia ◽  
Dario Rosa ◽  
Jacobus J. M. Verbaarschot
Keyword(s):  
Quantum Chaos ◽  
Kitaev Model ◽  
Gravity Duals

scholarly journals Late-time quantum backreaction of a very light nonminimally coupled scalar

2016 ◽  
Vol 94 (8) ◽  
Author(s):  
Dražen Glavan ◽  
Tomislav Prokopec ◽  
Tomo Takahashi
Keyword(s):  
Late Time ◽  
Time Quantum

scholarly journals Late-time quantum radiation by a uniformly accelerated detector in de Sitter spacetime

2018 ◽  
Vol 98 (10) ◽  
Author(s):  
Shumpei Yamaguchi ◽  
Rumi Tatsukawa ◽  
Shih-Yuin Lin ◽  
Kazuhiro Yamamoto
Keyword(s):  
Late Time ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Quantum Radiation ◽  
Time Quantum

scholarly journals Random matrices and quantum chaos

2001 ◽  
Vol 98 (19) ◽  
pp. 10531-10532 ◽  
Author(s):  
T. Kriecherbauer ◽  
J. Marklof ◽  
A. Soshnikov
Keyword(s):  
Random Matrices ◽  
Quantum Chaos

scholarly journals UNIVERSAL CORRELATIONS IN RANDOM MATRICES: QUANTUM CHAOS, THE 1/r2 INTEGRABLE MODEL, AND QUANTUM GRAVITY

1996 ◽  
Vol 11 (15) ◽  
pp. 1201-1219 ◽  
Author(s):  
SANJAY JAIN
Keyword(s):  
Quantum Gravity ◽  
Random Matrices ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Correlation Functions ◽  
Quantum Chaos ◽  
Matrix Theory ◽  
Mathematical Formulation ◽  
Integrable Model ◽  
Moser System

Random matrix theory (RMT) provides a common mathematical formulation of distinct physical questions in three different areas: quantum chaos, the 1-D integrable model with the 1/r2 interaction (the Calogero-Sutherland-Moser system) and 2-D quantum gravity. We review the connection of RMT with these areas. We also discuss the method of loop equations for determining correlation functions in RMT, and smoothed global eigenvalue correlators in the two-matrix model for Gaussian orthogonal, unitary and symplectic ensembles.

Sign in / Sign up

Export Citation Format

Share Document