Circuit Complexity in Interacting Quenched Quantum Field Theory

Abstract

In this work, we explore the effects of quantum quenching on the circuit complexity of quenched quantum field theory with weakly coupled quartic interactions. We use the invariant operator method under a perturbative framework to compute 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. Furthermore, we give a numerical estimate of circuit complexity with respect to the quench rate, δt, for two coupled oscillators. The parametric variation in the unambiguous contribution of the circuit complexity for an arbitrary number of oscillators has been studied with respect to the dimensionless parameter (t/δt). We comment on the variation in the circuit complexity for different values of coupling strength, different numbers of oscillators and even in different dimensions.

Entanglement Negativity in de Sitter Biverse from Stringy Axionic Bell Pair: An Analysis Using Bunch‐Davies Vacuum

“…It would be really good if we can study the open quantum system version of the present set up within the framework of quantum field theory of de Sitter space. [24,34,117,[146][147][148][149][150][151][152][153][154][155][156]…”

“…If the squeezed state construction is not possible then also one can study various other possibilities out of the present set up. [ 142–145 ] Till now the computation is restricted to a quantum system which is completely adiabatic in nature, because we are considering closed quantum system. It would be really good if we can study the open quantum system version of the present set up within the framework of quantum field theory of de Sitter space.…”

Krylov Complexity of Fermionic and Bosonic Gaussian States

“…These disciplines range from computer science and chaotic systems to emergent phenomena in many-body systems and black holes. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] Notably, the concept of complexity is also of significance in the Krylov complexity, the only choice lies on how one determine the inner product of the bases. Once the inner product is determined, the construction of the Krylov space proceeds using the Lanczos algorithm.…”

“…These disciplines range from computer science and chaotic systems to emergent phenomena in many‐body systems and black holes. [ 1–18 ] Notably, the concept of complexity is also of significance in the domain of Quantum Information. A particular quantum state complexity metric, motivated by the operator growth hypothesis, [ 19 ] has been introduced in ref.…”