The entanglement between two parts of a many-body system can be characterized in detail by the entanglement spectrum. Focusing on gapped phases of one-dimensional systems, I will show how this spectrum is dominated by contributions from the bound- ary between the parts. The boundary-local nature of the entanglement spectrum is clarified through its hierarchical level structure, through the combination of two single- boundary spectra to form a two-boundary spectrum, and finally through consideration of dominant eigenfunctions of the entanglement Hamiltonian. I will also discuss in detail the structure of the entanglement spectrum of the XXZ chain at ∆ = −1 which marks the transition between the gapless phase where the model is described by a c = 1 conformal field theory and the gapped ferromagnetic phase. References:
Tentative schedule for Vincenzo Alba's visit
Tuesday, January 17
Time
Appointment
location
email/phone
Wednesday, January 18
Time
Appointment
location
email/phone
Entanglement spectra in quantum systems
The entanglement between two parts of a many-body system can be characterized in detail by the entanglement spectrum. Focusing on gapped phases of one-dimensional systems, I will show how this spectrum is dominated by contributions from the bound- ary between the parts. The boundary-local nature of the entanglement spectrum is clarified through its hierarchical level structure, through the combination of two single- boundary spectra to form a two-boundary spectrum, and finally through consideration of dominant eigenfunctions of the entanglement Hamiltonian. I will also discuss in detail the structure of the entanglement spectrum of the XXZ chain at ∆ = −1 which marks the transition between the gapless phase where the model is described by a c = 1 conformal field theory and the gapped ferromagnetic phase.
References:
[1] V. Alba, M. Haque, and A. Laeuchli, arXiv:1107.1726.