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Physics, Particles & Fields
Hai Lin et al.
Summary: This study utilizes entangled multimode coherent states to generate entangled giant graviton states and analyzes their superposition, entangled pairs, and the method of generating mixed states within the context of gauge/gravity duality.
Article
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Xiangyu Cao
Summary: In this study, it is shown that the universal operator growth hypothesis holds for the quantum Ising spin model and chaotic Ising chain, with the disordered chaotic Ising chain exhibiting similar high-frequency spectral density asymptotics as thermalizing models. The argument is statistical in nature and relies on the observation that moments of the spectral density can be expressed as a sign-problem-free sum over paths of Pauli string operators.
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(2021)
Article
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Summary: The concepts of operator size and computational complexity play key roles in the study of quantum chaos and holographic duality, helping characterize the structure of time-evolving Heisenberg operators. The study shows that complexity, well defined in both quantum systems and gravity theories, can serve as a useful measure of operator evolution, exhibiting exponential-to-linear growth behavior in some cases both at early and late times.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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Summary: In this study, a non-equilibrium dynamics induced by strongly correlated Hamiltonians with all-to-all interactions is explored through a Sachdev-Ye-Kitaev (SYK)-based quench protocol. It is shown that the time evolution of simple spin-spin correlation functions is sensitive to the degree of k-locality of the corresponding operators, providing a tool to distinguish between operator-hopping and operator growth dynamics, which are indicative of quantum chaos in many-body quantum systems. This observation could be utilized as a promising method to probe chaotic behavior in advanced quench setups.
Article
Physics, Mathematical
Chi-Fang Chen et al.
Summary: In this paper, we investigate the upper bound problem of the commutator norm between local operators A and B in Hamiltonian quantum systems, and introduce a method based on topological combinatorial problems to calculate paths. Through this method, we strengthen existing Lieb-Robinson bounds. In specific quantum systems, we further prove stronger bounds. The study also compares and speculates on various models and theories.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
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E. Rabinovici et al.
Summary: This study investigates the evolution of K-complexity in chaotic many-body systems and compares the results with integrable models, showing significant differences between chaotic and integrable systems in terms of complexity evolution.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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Physics, Particles & Fields
Felix M. Haehl et al.
Summary: This study investigates the collision of two signals behind the horizons in the eternal AdS black hole geometry and quantifies various properties through computing multiple out-of-time-order six-point functions. The research utilizes boundary operators to diagnose collision strength, quantifies two-sided operator growth, and considers explicit coupling between left and right CFTs to make the wormhole traversable. The results rely on eikonal resummation method to obtain relevant gravitational contributions and show an intriguing factorization property in correlation functions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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Physics, Particles & Fields
Robert de Mello Koch et al.
Summary: By defining circuits based on unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions, we are able to generalize formulas for circuit complexity starting from spinning primary states. These results are effectively replicated through the geometry of coadjoint orbits of the conformal group. However, unlike the complexity geometry derived from scalar primary states, the geometry derived from spinning primary states is more intricate and the presence of conjugate points signaling complexity saturation is still unknown.
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(2021)
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Ian MacCormack et al.
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Astronomy & Astrophysics
Anatoly Dymarsky et al.
Summary: Krylov complexity, a measure of operator growth in Krylov space, has emerged as a new probe of chaos in quantum systems. In conformal field theories, the bound on OTOC provided by Krylov complexity reduces to chaos bound of Maldacena, Shenker, and Stanford, showing exponential growth in all considered examples, contrary to the expectation that exponential growth signifies chaos.
Article
Physics, Multidisciplinary
Jonah Kudler-Flam et al.
Summary: This study explores the robustness of quantum and classical information to perturbations implemented by local operator insertions, by computing multipartite entanglement measures in the Hilbert space of local operators. The research reveals the butterfly effect in quantum many-body systems and investigates membrane theory in Haar random unitary circuits to study the phenomenon of information delocalization caused by local operator insertions. Identical behavior is found in conformal field theories with holographic duals, while a limited amount of information is delocalized in free fermionic systems and random Clifford circuits.
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(2021)
Article
Astronomy & Astrophysics
Felix M. Haehl et al.
Summary: In this paper, the scenario where two distant black holes are connected through a wormhole and share an entangled state is discussed. When signals are sent into each black hole, resulting in a meeting inside the wormhole, growing perturbations in the quantum circuit represent this interaction. By quantifying the overlap in the circuit through a particular correlation function, exterior observers can diagnose the collision in the interior without physically entering the wormhole themselves.
Article
Optics
Chao Yin et al.
Summary: This research presents a framework for understanding the dynamics of operator size in large-S spin models and bounding the growth of out-of-time-ordered correlators. It demonstrates the finiteness of the Lyapunov exponent in the large-S limit and shows that the butterfly velocity remains finite as S approaches infinity. The study highlights qualitative differences between operator growth in semiclassical large-spin models and quantum holographic systems.
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CLASSICAL AND QUANTUM GRAVITY
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