Circuit complexity in proca theory
arXiv:2108.07252 · doi:10.1103/PhysRevD.104.106018
Abstract
In this paper, we study circuit complexity in Proca theory with Nielsen's approach and Fubini-Study (FS) metric approach. We place the fields on a lattice to gain a regularized theory, and obtain the ground state by adopting proper coordinates. We calculate complexities of the ground and thermofield double (TFD) states with Nielsen's approach, complexity of the TFD state is found to grows like a logarithmic function. We quantize the Proca fields and give the approximate ground state and TFD state by acting unitary circuit operators on the associated reference states. The circuit lengths are calculated with FS metric, the minimal lengths are given according to the associated geometric spaces. The complexity of TFD state is found to grows linearly with time.
arXiv comment19 pages, 1 figure
References in corpus (40)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Cool horizons for entangled black holes
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- Complexity, action, and black holes
- Circuit complexity in quantum field theory
- Towards Complexity for Quantum Field Theory States
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
- Entanglement renormalization for quantum fields
- Circuit Complexity in Fermionic Field Theory
- Complexity and entanglement for thermofield double states
- Quantum Computation as Gravity
- Complexity Growth for AdS Black Holes
- Circuit complexity for free fermions
- Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
- Circuit complexity in interacting QFTs and RG flows
- Holographic Complexity in Vaidya Spacetimes II
- Switchbacks and the Bridge to Nowhere
- Holographic Complexity in Vaidya Spacetimes I
- Complexity of Mixed States in QFT and Holography
- Renormalized Circuit Complexity
- Circuit Complexity across a Topological Phase Transition
- Holographic complexity and action growth in massive gravities
- On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
- A geometric approach to quantum circuit lower bounds
- Post-Quench Evolution of Complexity and Entanglement in a Topological System
- Testing Holographic Conjectures of Complexity with Born-Infeld Black Holes
- Complexity for Charged Thermofield Double States
- Circuit Complexity for Fermionic Thermofield Double states
- Surface term, corner term, and action growth in F(Riemann) gravity theory
- Complexity and action for warped AdS black holes
- Holographic complexity of anisotropic black branes
- Path-Integral Optimization from Hartle-Hawking Wave Function
- Circuit complexity for generalised coherent states in thermal field dynamics
- Nonanalyticity of circuit complexity across topological phase transitions
- Comparison of holographic and field theoretic complexities by time dependent thermofield double states
- Holographic Complexity and Charged Scalar Fields
- Holographic complexity of Born-Infeld black holes
- Circuit complexity near critical points