Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality

Understand

Describing non-equilibrium properties of quantum many-body systems is challenging due to high entanglement in the wavefunction.

• We describe evolution of local observables via the influence matrix (IM), which encodes the effects of a many-body system as an environment for local subsystems.
• Recent works found that in many dynamical regimes the IM of an infinite system has low temporal entanglement and can be efficiently represented as a matrix-product state (MPS).
• Yet, direct iterative constructions of the IM encounter highly entangled intermediate states - a temporal entanglement barrier (TEB).