An exactly solvable many-body problem in one dimension
arXiv:cond-mat/9904121 · doi:10.1016/S0375-9601(99)00637-4
Abstract
For N impenetrable particles in one dimension where only the nearest and next-to-nearest neighbours interact, we obtain the complete spectrum both on a line and on a circle. Further, we establish a mapping between these N-body problems and the short-range Dyson model introduced recently to model intermediate spectral statistics in some systems using which we compute the two-point correlation function and prove the absence of long-range order in the corresponding many-body theory. Further, we also show the absence of off-diagonal long-range order in these systems.
LaTeX, 4 pages, 1 figure
Cited by in corpus (28)
- A class of N-body problems with nearest- and next-to-nearest neighbour interactions
- Super-Calogero-Moser-Sutherland systems and free super-oscillators : a mapping
- Truncated Calogero-Sutherland models
- Exact ground states of quantum many-body systems under confinement
- Off-diagonal long-range order in one-dimensional many-body problem
- Spin chains from super-models
- A Unified Algebraic Approach to Few and Many-Body Correlated Systems
- Solvable scalar and spin models with near-neighbors interactions
- Influence of symmetry breaking on the fluctuation properties of spectra
- Rationally extended many-body truncated Calogero-Sutherland model
- Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models
- Finite-Range Coulomb Gas Models of Banded Random Matrices and Quantum Kicked Rotors
- Exchange operator formalism for N-body spin models with near-neighbors interactions
- Analytically solvable Hamiltonians for quantum systems with a nearest neighbour interaction
- Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
- Two-level correlation function of critical random-matrix ensembles
- One-Dimensional Quantum Systems with Ground-State of Jastrow Form Are Integrable
- Finite-Range Coulomb Gas Models I: Some Analytical Results
- Critical properties in long-range hopping Hamiltonians
- Exact solution of a many body problem with nearest and next-nearest neighbour interactions
- The Goldilocks model of separable, zero-range, few-body interactions in one-dimensional harmonic traps
- Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems
- Truncated Calogero-Sutherland Models on a Circle
- Affine Toda-Sutherland Systems
- Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
- Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
- Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions
- Parent Hamiltonians of Jastrow Wavefunctions