Conformal Quantum Mechanics and Sine-Square Deformation

Abstract

We revisit conformal quantum mechanics (CQM) from the perspective of sine-square deformation (SSD) and the entanglement Hamiltonian. The operators that correspond to SSD and the entanglement Hamiltonian are identified. Thus, the nature of SSD and entanglement can be discussed in a much simpler CQM setting than higher-dimensional field theories.

References in corpus (9)

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Cited by in corpus (22)

• Quantum dynamics in sine-square deformed conformal field theory: Quench from uniform to non-uniform CFTs
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories: Part I
• Emergent Black Hole Dynamics in Critical Floquet Systems
• Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
• Floquet conformal field theories with generally deformed Hamiltonians
• Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
• Classification of $S{L}_2$ deformed Floquet Conformal Field Theories
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
• Quantum information geometry of driven CFTs
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• Conformal quantum mechanics of causal diamonds
• Time development of conformal field theories associated with $L_1$ and $L_{-1}$ operators
• Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
• Spectral Properties of the Symmetry Generators of Conformal Quantum Mechanics: A Path-Integral Approach
• Analysis for Lorentzian conformal field theories through sine-square deformation
• Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
• Conformal quantum mechanics as a Floquet-Dirac system
• Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
• Energy Scale Deformation on Regular Polyhedra
• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
• Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type