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Complexity from the reduced density matrix: a new diagnostic for chaos
We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity.
Arpan Bhattacharyya +2 more
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Quantum irreversibility and chaos [PDF]
Abstract Herein we establish a relation between quantum irreversibility and the chaotic semi-classical solutions for a spin-boson Hamiltonian system. We obtain quantum averages by numerically integrating the appropriate Liouville-Von Neumann equations of motion and find these averages to be less erratic than the corresponding chaotic ...
West, Bruce J. +3 more
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Previous work in the field of relativistic quantum chaos has revealed initial evidence that the manifestations of classical chaos in relativistic quantum systems tend to be weakened as compared with those in nonrelativistic quantum systems. To place this
Chen-Di Han +3 more
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Emergent Quantum State Designs from Individual Many-Body Wave Functions
Quantum chaos in many-body systems provides a bridge between statistical and quantum physics with strong predictive power. This framework is valuable for analyzing properties of complex quantum systems such as energy spectra and the dynamics of ...
Jordan S. Cotler +7 more
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Entropy, chaos and excited-state quantum phase transitions in the Dicke model [PDF]
We study non-equilibrium processes in an isolated quantum system ---the Dicke model--- focusing on the role played by the transition from integrability to chaos and the presence of excited-state quantum phase transitions.
Lóbez, C. M., Relaño, A.
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A short historical overview is given on the development of our knowledge of complex dynamical systems with special emphasis on ergodicity and chaos, and on the semiclassical quantization of integrable and chaotic systems. The general trace formula is discussed as a sound mathematical basis for the semiclassical quantization of chaos.
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Probing the edge between integrability and quantum chaos in interacting few-atom systems [PDF]
Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization.
Thomás Fogarty +3 more
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Low temperature quantum bounds on simple models
In the past few years, there has been considerable activity around a set of quantum bounds on transport coefficients (viscosity) and chaos (Lyapunov exponent), relevant at low temperatures.
Silvia Pappalardi, Jorge Kurchan
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Chaos in coupled Kerr-nonlinear parametric oscillators
A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution and can be used as a qubit for gate-based quantum computing and quantum ...
Hayato Goto, Taro Kanao
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