Journal
PHYSICAL REVIEW LETTERS
Volume 117, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.117.130402
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Funding
- Isaac Newton Institute for Mathematical Sciences [EP/K032208/1]
- ERC [279391 EDEQS]
- LabEX Grant [ENS-ICFP:ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*]
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We consider the nonequilibrium time evolution of a translationally invariant state under a Hamiltonian with a localized defect. We discern the situations where a light cone spreads out from the defect and separates the system into regions with macroscopically different properties. We identify the light cone and propose a procedure to obtain a (quasi) stationary state describing the late time dynamics of local observables. As an explicit example, we study the time evolution generated by the Hamiltonian of the transverse-field Ising chain with a local defect that cuts the interaction between two sites (a quench of the boundary conditions alongside a global quench). We solve the dynamics exactly and show that the late time properties can be obtained with the general method proposed.
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