Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory

Abstract

In this paper, we consider the time evolution of charge imbalance resolved negativity after a global quench in the 1+1 dimensional complex Klein-Gordon theory. We focus on two types of global quenches which are called boundary state quench and mass quench respectively. We first study the boundary state quench where the post-quench dynamic is governed by a massless Hamiltonian. In this case, the temporal evolution of charged imbalance resolved negativity can be obtained first by evaluating the correlators of the fluxed twist field in the upper half plane and then applying Fourier transformation. We numerical test our analytical formulas in the underlying lattice model. We also study the mass quench in the complex harmonic chain where the system is evolved according to a massive Hamiltonian after the quench. We argue that our results can be understood in the framework of quasi-particle picture.

24 pages,4 figures. Errors are corrected

References in corpus (17)

• Entanglement negativity in quantum field theory
• Finite temperature entanglement negativity in conformal field theory
• Entanglement negativity after a global quantum quench
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Entanglement negativity and entropy in non-equilibrium conformal field theory
• Conformal Blocks and Negativity at Large Central Charge
• Symmetry decomposition of negativity of massless free fermions
• Symmetry resolved relative entropies and distances in conformal field theory
• Symmetry-resolved entanglement for excited states and two entangling intervals in AdS${}_3$/CFT${}_2$
• Symmetry decomposition of relative entropies in conformal field theory
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• Charged Moments in $W_3$ Higher Spin Holography
• Entanglement of the $3$-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
• Charged Rényi negativity of massless free bosons
• Entanglement Entropies of the quarter filled Hubbard model
• Subsystem distance after a local operator quench
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

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