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quant-ph2024
Lattice fermions with solvable wide range interactions
Ryu Sasaki
Exactly solvable (spinless) lattice fermions with wide range interactions are constructed explicitly based on {\em exactly solvable stationary and reversible Markov chains} $\mathc…
quant-ph2024
Exactly solvable inhomogeneous fermion systems
Ryu Sasaki
15 exactly solvable inhomogeneous (spinless) fermion systems on one-dimensional lattices are constructed explicitly based on the discrete orthogonal polynomials of Askey scheme, e.…
quant-ph2024
Towards verifications of Krylov complexity
Ryu Sasaki
Krylov complexity is considered to provide a measure of the growth of operators evolving under Hamiltonian dynamics. The main strategy is the analysis of the structure of Krylov su…