Entropy growth of shift-invariant states on a quantum spin chain

DOI10.1063/1.1623616zbMath1063.82004arXivmath-ph/0306055OpenAlexW3104715101MaRDI QIDQ4833220

Milán Mosonyi, Bart Haegeman, Mark Fannes

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0306055

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Sublogarithmic behaviour of the entanglement entropy in fermionic chains ⋮ The von Neumann entropy asymptotics in multidimensional fermionic systems ⋮ Entanglement entropy after a partial projective measurement in 1  +  1 dimensional conformal field theories: exact results ⋮ Colloquium: Area laws for the entanglement entropy ⋮ Entanglement in many-body systems ⋮ General Entanglement Scaling Laws from Time Evolution ⋮ Failure of the Ryll-Nardzewski theorem on the car algebra ⋮ ENTANGLEMENT, HAAG-DUALITY AND TYPE PROPERTIES OF INFINITE QUANTUM SPIN CHAINS ⋮ Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems ⋮ On the sharpness of the zero-entropy-density conjecture

Cites Work

• Density-matrix renormalization. A new numerical method in physics. Lectures of a seminar and workshop held at the Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany, August 24 - September 18, 1998
• Quantum Dynamical Systems
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