Eigenstate thermalization in the two-dimensional transverse field Ising model Article Swipe
Related Concepts
Physics
Ising model
Eigenvalues and eigenvectors
Hamiltonian (control theory)
Thermalisation
Antiferromagnetism
Quantum
Diagonal
Quantum mechanics
Longitudinal field
Quantum chaos
Transverse plane
Condensed matter physics
Magnetic field
Mathematics
Quantum dynamics
Engineering
Geometry
Structural engineering
Mathematical optimization
Rubem Mondaini
,
Keith R. Fratus
,
Mark Srednicki
,
Marcos Rigol
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.93.032104
· OA: W2275625475
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.93.032104
· OA: W2275625475
We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two nonequivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in the presence of a uniform longitudinal field. We use full exact diagonalization to examine the behavior of quantum chaos indicators and of the diagonal matrix elements of operators of interest in the eigenstates of the Hamiltonian. An analysis of finite size effects reveals that quantum chaos and eigenstate thermalization occur in those systems whenever the fields are nonvanishing and not too large.
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