Excitation Transmission through a non-Hermitian traversable wormhole

Abstract

This study explores the intricate real-time dynamics of a non-Hermitian system composed of two interconnected Sachdev-Ye-Kitaev (SYK) models. A central finding reveals that an excitation initially localized in the right SYK subsystem can be efficiently transmitted to the left subsystem subsequent to the characteristic scrambling time, a phenomenon facilitated by the intrinsic non-Hermitian nature of the system. The defining hallmark of non-Hermiticity is manifest in the asymmetric conveyance of quantum states, with the non-Hermitian parameter functioning as a tunable knob that selectively amplifies or dampens propagation modes on either side. Despite this inherent directional bias in state transfer, the system sustains two distinct phases, analogously likened to black holes and wormholes.

arXiv comment17 pages, 15 figures

References in corpus (38)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Comments on the Sachdev-Ye-Kitaev model
• Localization transitions in non-Hermitian quantum mechanics
• Non-Hermitian Chern bands
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Exceptional Points of Non-hermitian Operators
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Introduction to PT-Symmetric Quantum Theory
• Critical non-Hermitian Skin Effect
• Observation of parity-time symmetry breaking in a single spin system
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Dual PT-Symmetric Quantum Field Theories
• Out-of-Time-Order Correlation at a Quantum Phase Transition
• Many-Body Chaos in the Sachdev-Ye-Kitaev Model
• Magnetotransport in a model of a disordered strange metal
• Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite information
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Revival dynamics in a traversable wormhole
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• Phases Of Melonic Quantum Mechanics
• Diffusion in higher dimensional SYK model with complex fermions
• Diagnosing quantum chaos in many-body systems using entanglement as a resource
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• The Coupled SYK model at Finite Temperature
• Parity-time symmetry breaking in spin chains
• Non-Hermitian Holography
• Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models
• Chaos exponents of SYK traversable wormholes
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Soft modes in $\mathcal{N}=2$ SYK model
• Matching partition functions of deformed JT gravity and the cSYK model

Cited by in corpus (5)

• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
• Analytical solution of traversable wormholes in the presence of positive cosmological constant
• Off-diagonal coupling of supersymmetric SYK model