Circuit Complexity in an interacting quenched Quantum Field Theory

Abstract

In this work, we explore the effects of a quantum quench on the circuit complexity for a quenched quantum field theory having weakly coupled quartic interaction. We use the invariant operator method, under a perturbative framework, for computing the ground state of this system}. We give the analytical expressions for specific reference and target states using the ground state of the system. Using a particular cost functional, we show the analytical computation of circuit complexity for the quenched and interacting field theory. Further, we give a numerical estimate of circuit complexity with respect to the quench rate, $\delta t$ for two coupled oscillators. The parametric variation of the unambiguous contribution of the circuit complexity for an arbitrary number of oscillators has been studied with respect to the dimensionless parameter $(t/\delta t$). We comment on the variation of circuit complexity for different values of coupling strength, different number of oscillators, and even in different dimensions.

17 pages, 4 figures, Revised version, Accepted for publication in Symmetry (section: Physics and Symmetry/Asymmetry, Special issue: "Symmetry and Asymmetry in Quantum Mechanics")

References in corpus (10)

• Complexity and Shock Wave Geometries
• Quantum Computation as Geometry
• Quantum Complexity and Negative Curvature
• Optimal control, geometry, and quantum computing
• Quantum complexity and topological phases of matter
• Entangling power and quantum circuit complexity
• Circuit Complexity as a novel probe of Quantum Entanglement: A study with Black Hole Gas in arbitrary dimensions
• Circuit Complexity in ${\mathcal{Z}}_2$ $\mathcal{EEF}\mathcal{T}$
• Entanglement in interacting quenched two-body coupled oscillator system
• Three puzzles in cosmology

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• Primordial cosmic complexity and effects of reheating
• Tomographic entanglement indicators in a coupled oscillator model