Fetching the paper…
Reading the bibliography…
We study the mixing behavior of random Lindblad generators with no symmetries, using the dynamical map or propagator of the dissipative evolution.
Spectral gaps and mid-gap states in random quantum master equations
T. Can, V. Oganesyan, D. Orgad, and S. Gopalakrishnan · 1902
Earlier work this paper cites.
Characteristic Vectors of Bordered Matrices With Infinite Dimensions
E. P. Wigner · 1955
Earlier work this paper cites.
Statistical Theory of the Energy Levels of Complex Systems . I
F. J. Dyson · 1962
Earlier work this paper cites.
The Threefold Way. Algebraic structure of symmetry groups and ensembles in quantum mechanics
F. J. Dyson · 1962
Earlier work this paper cites.
Statistical Ensembles of Complex, Quaternion, and Real Matrices
J. Ginibre · 1965
Earlier work this paper cites.
Random Matrices and Information Theory
R. Balian · 1968
Earlier work this paper cites.
General State Changes in Quantum Theory
K. Kraus · 1971
Earlier work this paper cites.
A planar diagram theory for strong interactions
G. ’t Hooft · 1974
Earlier work this paper cites.
Completely Positive Linear Maps on Complex Matrices
M.-D. Choi · 1975
Earlier work this paper cites.
Statistical properties of many-particle spectra
K. K. Mon and J. B. French · 1975
Earlier work this paper cites.
On the generators of quantum dynamical semigroups
G. Lindblad · 1976
Earlier work this paper cites.
Completely positive dynamical semigroups of N-level systems
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan · 1976
Earlier work this paper cites.
The "transition probability" in the state space of a *-algebra
A. Uhlmann · 1976
Earlier work this paper cites.
A one-dimensional statistical model of friction in deeply inelastic heavy ion collisions
C. M. Ko, H. J. Pirner, and H. A. Weidenmüller · 1976
Earlier work this paper cites.
Planar diagrams
E. Brézin, C. Itzykson, G. Parisi, and J. B. Zuber · 1978
Earlier work this paper cites.
Binary correlations in random matrix spectra
A. Pandey and J. B. French · 1979
Earlier work this paper cites.
Quantum field theory techniques in graphical enumeration
D. Bessis, C. Itzykson, and J.-B. Zuber · 1980
Earlier work this paper cites.
Origin of Long-Time Tails in Strongly Chaotic Systems
F. Vivaldi, G. Casati, and I. Guarneri · 1983
Earlier work this paper cites.
Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
O. Bohigas, M. J. Giannoni, and C. Schmit · 1984
Earlier work this paper cites.
Semiclassical Theory of Spectral Rigidity
M. V. Berry · 1985
Earlier work this paper cites.
Scattering from a classically chaotic repellor
P. Gaspard and S. A. Rice · 1989
Earlier work this paper cites.
Universality of cubic-level repulsion for dissipative quantum chaos
R. Grobe and F. Haake · 1989
Earlier work this paper cites.
Random-Matrix Description of Chaotic Scattering: Semiclassical Approach
R. Blümel and U. Smilansky · 1990
Earlier work this paper cites.
Stochastic versus Semiclassical Approach Quantum Chaotic Scattering
C. H. Lewenkopf and H. A. Weidenmüller · 1991
Earlier work this paper cites.
Nonexponential decay of a stochastic one-channel system
F.-M. Dittes, H. L. Harney, and A. Müller · 1992
Earlier work this paper cites.
Time Evolution of Chaotic Quantum Systems
H. L. Harney and F.-M. Dittes · 1992
Earlier work this paper cites.
Statistics of complex levels of random matrices for decaying systems
F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H.-J. Sommers · 1992
Earlier work this paper cites.
Rates of quantum decoherence in regular and chaotic systems
A. Tameshtit and J. E. Sipe · 1993
Earlier work this paper cites.
Decoherence, Chaos, and the Second Law
W. H. Zurek and J. P. Paz · 1994
Earlier work this paper cites.
Fidelity for Mixed Quantum States
R. Jozsa · 1994
Earlier work this paper cites.
Gaussian Orthogonal Ensemble Statistics in a Microwave Stadium Billiard with Chaotic Dynamics: Porter-Thomas Distribution and Algebraic Decay of Time Correlations
H. Alt, H.-D. Gräf, H. L. Harney, R. Hofferbert, H. Lengeler, A. Richter, P. Schardt, and H. A. Weidenmüller · 1995
Earlier work this paper cites.
Chaotic scattering: the supersymmetry method for large number of channels
N. Lehmann, D. Saher, V. V. Sokolov, and H.-J. Sommers · 1995
Earlier work this paper cites.
Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
Y. V. Fyodorov and H.-J. Sommers · 1997
Earlier work this paper cites.
Relaxation process in a regime of quantum chaos
G. Casati, G. Maspero, and D. L. Shepelyansky · 1997
Earlier work this paper cites.
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
A. Altland and M. R. Zirnbauer · 1997
Earlier work this paper cites.
Quantum versus classical decay laws in open chaotic systems
D. V. Savin and V. V. Sokolov · 1997
Earlier work this paper cites.
Hypergeometric Functions, My Love
M. Yoshida · 1997
Earlier work this paper cites.
Non-Hermitean Random Matrix Theory: Method of Hermitean Reduction
J. Feinberg and A. Zee · 1997
Earlier work this paper cites.
Non-Hermitian random matrix models: Free random variable approach
R. A. Janik, M. A. Nowak, G. Papp, J. Wambach, and I. Zahed · 1997
Earlier work this paper cites.
Fingerprints of classical instability in open quantum dynamics
P. A. Miller and S. Sarkar · 1998
Earlier work this paper cites.
Characteristics of quantum open systems: Free random variables approach
E. Gudowska-Nowak, G. Papp, and J. Brickmann · 1998
Cited alongside, same era.
The Spectral Autocorrelation Function in Weakly Open Chaotic Systems: Indirect Photodissociation of Molecules
Y. Alhassid and Y. V. Fyodorov · 1998
Cited alongside, same era.
Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities
W. Koepf · 1998
Cited alongside, same era.
The approach to thermal equilibrium in quantized chaotic systems
M. Srednicki · 1999
Cited alongside, same era.
Semiclassics for a dissipative quantum map
D. Braun, P. A. Braun, and F. Haake · 1999
Cited alongside, same era.
Spectral properties of dissipative chaotic quantum maps
D. Braun · 1999
Cited alongside, same era.
Universality of spectra for interacting quantum chaotic systems
W. Bruzda, M. Smaczyński, V. Cappellini, H.-J. Sommers, and K. Życzkowski · 2010
Later among the works it cites.
Log-gases and random matrices
P. J. Forrester · 2010
Later among the works it cites.
Resonance Scattering of Waves in Chaotic Systems
Y. V. Fyodorov and D. V. Savin · 2011
Later among the works it cites.
Spectral problems in open quantum chaos
S. Nonnenmacher · 2011
Later among the works it cites.
A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
B. Buča and T. Prosen · 2012
Later among the works it cites.
Loschmidt echo
A. Goussev, R. A. Jalabert, H. M. Pastawski, and D. Wisniacki · 2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The decay of quantum systems with a small number of open channels
F.-M. Dittes · 2000
Cited alongside, same era.
On the isolated spectrum of the Perron-Frobenius operator
M. Dellnitz, G. Froyland, and S. Sertl · 2000
Cited alongside, same era.
Truncations of random unitary matrices
K. Życzkowski and H.-J. Sommers · 2000
Cited alongside, same era.
Dissipative chaotic scattering
A. E. Motter and Y.-C. Lai · 2001
Cited alongside, same era.
Quantum Signatures of Chaos
F. Haake · 2001
Cited alongside, same era.
Dissipative Quantum Chaos and Decoherence
D. Braun · 2001
Cited alongside, same era.
Dissipative phase transition in a central spin system
E. M. Kessler, G. Giedke, A. Imamoğlu, S. F. Yelin, M. D. Lukin, and J. I. Cirac · 2012
Later among the works it cites.
Time Scales in the Approach to Equilibrium of Macroscopic Quantum Systems
S. Goldstein, T. Hara, and H. Tasaki · 2013
Later among the works it cites.
Kinetic constraints, hierarchical relaxation, and onset of glassiness in strongly interacting and dissipative rydberg gases
I. Lesanovsky and J. P Garrahan · 2013
Later among the works it cites.
Quantum speed limits in open system dynamics
A. del Campo, I. L. Egusquiza, M. B. Plenio, and S. F. Huelga · 2013
Later among the works it cites.
Quantum Measurements and Decoherence: models and phenomenology
M. Mensky · 2013
Later among the works it cites.
Quantum logarithmic Sobolev inequalities and rapid mixing
M. J. Kastoryano and K. Temme · 2013
Later among the works it cites.
Algebraic versus exponential decoherence in dissipative many-particle systems
Z. Cai and T. Barthel · 2013
Later among the works it cites.
Rapid mixing implies exponential decay of correlations
M. J. Kastoryano and J. Eisert · 2013
Later among the works it cites.
Lower bounds to the spectral gap of Davies generators
K. Temme · 2013
Later among the works it cites.
Resonances in open quantum maps
M. Novaes · 2013
Later among the works it cites.
Experimental observation of the spectral gap in microwave n-disk systems
S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski · 2013
Later among the works it cites.
Symmetries and conserved quantities in Lindblad master equations
V. V. Albert and L. Jiang · 2014
Later among the works it cites.
Power-law approach to steady state in open lattices of noninteracting electrons
M. V. Medvedyeva and S. Kehrein · 2014
Later among the works it cites.
Spectrum of Markov Generators on Sparse Random Graphs
C. Bordenave, P. Caputo, and D. Chafaï · 2014
Later among the works it cites.
Rapid mixing and stability of quantum dissipative systems
A. Lucia, T. S. Cubitt, S. Michalakis, and D. Pérez-García · 2015
Later among the works it cites.
Relaxation times of dissipative many-body quantum systems
M. Žnidarič · 2015
Later among the works it cites.
Stability of Local Quantum Dissipative Systems
T. S. Cubitt, A. Lucia, S. Michalakis, and D. Perez-Garcia · 2015
Later among the works it cites.
Towards a theory of metastability in open quantum dynamics
K. Macieszczak, M. Guţă, I. Lesanovsky, and J. P. Garrahan · 2016
Later among the works it cites.
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol · 2016
Later among the works it cites.
Random matrix techniques in quantum information theory
B. Collins and I. Nechita · 2016
Later among the works it cites.
Corner transfer matrices for 2d strongly coupled many-body Floquet systems
I. Kukuljan and T. Prosen · 2016
Later among the works it cites.
Random matrix approaches to open quantum systems
H. Schomerus · 2017
Later among the works it cites.
Free Probability and Random Matrices
J. A. Mingo and R. Speicher · 2017
Later among the works it cites.
Bound on Eigenstate Thermalization from Transport
A. Dymarsky · 2018
Later among the works it cites.
Thouless and Relaxation Time Scales in Many-Body Quantum Systems
M. Schiulaz, E. J. Torres-Herrera, and L. F. Santos · 2018
Later among the works it cites.
Orthogonality catastrophe in dissipative quantum many body systems
F. Tonielli, R. Fazio, S. Diehl, and J. Marino · 2018
Later among the works it cites.
Effective quantum Zeno dynamics in dissipative quantum systems
V. Popkov, S. Essink, C. Presilla, and G. Schütz · 2018
Later among the works it cites.
On the spectral gap of random quantum channels
C. E. González-Guillén, M. Junge, and I. Nechita · 2018
Later among the works it cites.
Solution of a minimal model for many-body quantum chaos
A. Chan, A. De Luca, and J. T. Chalker · 2018
Later among the works it cites.
Spectral theory of Liouvillians for dissipative phase transitions
F. Minganti, A. Biella, N. Bartolo, and C. Ciuti · 2018
Later among the works it cites.
Universal spectra of random Lindblad operators
S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński, and K. Życzkowski · 2018
Later among the works it cites.
Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method
S. T. Belinschi, P. Śniady, and R. Speicher · 2018
Later among the works it cites.
Extreme decoherence and quantum chaos
Z. Xu, L. P. García-Pintos, A. Chenu, and A. del Campo · 2019
Closest in time.
Spectral and steady-state properties of random Liouvillians
L. Sá, P. Ribeiro, and T. Prosen · 2019
Closest in time.