Low energy properties of non-perturbative quantum systems: a space reduction approach
arXiv:0711.3906 · doi:10.1016/j.physleta.2007.11.044
Abstract
We propose and test a renormalization procedure which acts in Hilbert space. We test its efficiency on strongly correlated quantum spin systems by working out and analyzing the low-energy spectral properties of frustrated quantum spin systems in different parts of the phase diagram and in the neighbourhood of quantum critical points.
13 pages, 3 figures, to appear in PLA
References in corpus (14)
- Entanglement renormalization
- Quantum phase transitions
- Repulsion of Resonance States and Exceptional Points
- Algorithms for entanglement renormalization
- Density Matrix Renormalization Group Applied to the Ground State of the XY-Spin-Peierls System
- Asymptotic Freedom and Bound States in Hamiltonian Dynamics
- Invariant Correlation Entropy and Complexity of Quantum States
- Simulations of pure and doped low-dimensional spin-1/2 gapped systems
- Renormalization approach to many-particle systems
- Quantum Phase Transitions and Matrix Product States in Spin Ladders
- Renormalization Group in Quantum Mechanics
- Renormalisation and fixed points in Hilbert Space
- Novel Methods for Determining Effective Interactions for the Nuclear Shell Model
- Renormalization Group and Quantum Information