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The One-Dimensional Hubbard Model
As one of the minimal models for strongly correlated electron systems, the Hubbard model plays a central role in modern condensed matter physics.
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Off-Diagonal Bethe Ansatz for Exactly Solvable Models
Overview.- The algebraic Bethe ansatz.- The periodic anisotropic spin-1/2 chains.- The spin-1/2 torus.- The spin-1/2 chain with arbitrary boundary fields.- The one-dimensional Hubbard model.- The…
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Exact solution of XXZ spin chain with unparallel boundary fields
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Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields
By using a set of gauge transformations, the exact solutions of the XXZ spin chain with unparallel boundary magnetic fields are derived in the framework of the algebraic Bethe ansatz. In the…
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Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
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Off-diagonal Bethe ansatz solutions of the anisotropic spin-12 chains with arbitrary boundary fields
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Anisotropic Rabi model
We define the anisotropic Rabi model as the generalization of the spin-boson Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and counterrotating interactions are governed…
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Off-diagonal Bethe ansatz and exact solution of a topological spin ring.
TLDR
A general method is proposed for constructing the Bethe ansatz equations of integrable models without U(1) symmetry and it is found that the excitation spectrum shows a nontrivial topological nature.
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Quantum speed limit for arbitrary initial states
TLDR
The generic bound on the minimal evolution time of the open dynamical quantum system, applicable to both mixed and pure initial states, is investigated and the roles of the relativistic effects on the speed limit time for the observer in non-inertial frames are discussed.
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Bethe states of the XXZ spin-1/2 chain with arbitrary boundary fields
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