4 problems
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Unitarity criterion for partitioned Bose–Hubbard Hamiltonians
Let the -partitioned Hamiltonians be the Hamiltonians referred to as … have a spectrum. In the leading-order approximation, the partitioned-Hamiltonian unitarity conjecture.…
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Critical energy density conjecture for condensation in the Bose–Hubbard Hamiltonian
Let be the kinetic, or hopping, part of the Bose–Hubbard Hamiltonian, let be the parameter of the quantum infinite-temperature state … where is an observable and…
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One-macroscopic-eigenvalue conjecture for the ground-state density matrix in the Josephson regime
Let be the two-mode Bose–Hubbard Hamiltonian, let be its ground state, and let denote the one-body density matrix of . Let…
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Generalised canonical equations for the condensed state manifold
For a Bose–Hubbard dimer with complex interaction strength, let an initially condensed many-particle state remain condensed under the non-Hermitian dynamics, and let expectation va…