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Quantum Chaos
In classical mechanics, chaos originates from nonlinearity and is extremely sensitive to initial conditions. For different but exceedingly close...
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Krylov complexity and chaos in quantum mechanics
Recently, Krylov complexity was proposed as a measure of complexity and chaoticity of quantum systems. We consider the stadium billiard as a typical...
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Bifurcations and Chaos in Open Quantum Systems
A study of open quantum systems and dynamical regimes that emerge in such systems is an actively develo** field of the theoretical and experimental...
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An effective field theory for non-maximal quantum chaos
In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of...
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Boson Cavities: From Electronic Transport to Quantum Chaos
This is a `mini-review' of some recent results on electron transport through two-level systems (e.g., double quantum dots) and simple mesoscopic...
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Squeezing, chaos and thermalization in periodically driven quantum systems: the case of bosonic preheating
The phenomena of Squeezing and chaos have recently been studied in the context of inflation. We apply this formalism in the post-inflationary...
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Local Poincaré algebra from quantum chaos
The local two-dimensional Poincaré algebra near the horizon of an eternal AdS black hole, or in proximity to any bifurcate Killing horizon, is...
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A von-Neumann-like photonic processor and its application in studying quantum signature of chaos
Photonic quantum computation plays an important role and offers unique advantages. Two decades after the milestone work of Knill-Laflamme-Milburn,...
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Quantum information scrambling and quantum chaos in little string theory
In the current manuscript we perform a systematic investigation about the effects of nonlocal interaction to the spread of quantum information in...
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Detecting few-body quantum chaos: out-of-time ordered correlators at saturation
We study numerically and analytically the time dependence and saturation of out-of-time ordered correlators (OTOC) in chaotic few-body...
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Many-body quantum chaos in stroboscopically-driven cold atoms
In quantum chaotic systems, the spectral form factor (SFF), defined as the Fourier transform of two-level spectral correlation function, is known to...
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Towards the web of quantum chaos diagnostics
We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC),...
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A Brief Introduction to Quantum Chaos of Generic Systems
This article is an updated revised version of a recent review paper on quantum chaos in mixed-type systems, between regularity and chaos (Robnik...
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Quantum cryptosystem and circuit design for color image based on novel 3D Julia-fractal chaos system
Chaos and fractals go hand in hand. Fractal transformation is used on chaotic systems to produce rich chaotic attractors. A three-dimensional...
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Weak chaos and mixed dynamics in the string S-matrix
We investigate chaotic dynamics in tree-level S-matrices describing the scattering of tachyons, photons and gravitons on highly excited open and...
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Aspects of Quantum Chaos
This chapter discusses two important ways of defining quantum chaoticity. One access to characterize dynamical quantum systems is offered by the...
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Effect of phase conjugate coupled on routes to chaos in incoherent optical feedback semiconductor quantum dot laser
The effect of the phase conjugate coupling on routes to chaos (mainly stable, sustained pulsating oscillations, evolves into double-period...
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On systems of maximal quantum chaos
A remarkable feature of chaos in many-body quantum systems is the existence of a bound on the quantum Lyapunov exponent. An important question is to...
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Quantum chaos and unitary black hole evaporation
The formation and evaporation of small AdS black holes in a theory with a holographic dual is governed by the usual rules of quantum mechanics. The...