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Spherical Deformation for One-dimensional Quantum Systems
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System-size dependence of the ground-state energy E^N is investigated for N-site one-dimensional (1D) quantum systems with open boundary condition, where the interaction strength decreases towards the both ends of the system. For the spinless Fermions on the 1D lattice we have considered, it is shown that the finite-size correction to the energy per site, which is defined as E^N / N - \lim_{N \to \infty} E^N / N, is of the order of 1 / N^2 when the reduction factor of the interaction is expressed by a sinusoidal function. We discuss the origin of this fast convergence from the view point of the spherical geometry.
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Cited by 1 Pith paper
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Symmetry resolved entanglement entropy after an inhomogeneous quench
After a quench to a sine-square deformed Hamiltonian, symmetry-resolved entanglement entropy grows as log t, with a subleading charge-dependent correction that breaks equipartition.
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