Construction of Many-Body Eigenstates with Displacement Transformations
arXiv:1901.10368 · doi:10.1103/PhysRevB.100.085115
Abstract
Many-body eigenstates beyond the gaussian approximation can be constructed in terms of local integrals of motion (IOM), although their actual computation has been until now a daunting task. We present a new practical computation of IOMS based on displacement transformations. It represents a general and systematic way to extend Hartree-Fock and configuration interaction theories to higher order. Our method combines minimization of energy and energy variance of a reference state with exact diagonalization. We show that our implementation is able to perform ground state calculations with high precision for relatively large systems. Since it keeps track of the IMO's forming a reference state, our method is particularly efficient dealing with excited states, both in accuracy and the number of different states that can be constructed.
References in corpus (42)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- The many-body localization phase transition
- Unbounded growth of entanglement in models of many-body localization
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Local conservation laws and the structure of the many-body localized states
- Observation of collective excitation of two individual atoms in the Rydberg blockade regime
- Many-body localization: an introduction and selected topics
- On Many-Body Localization for Quantum Spin Chains
- Integrals of motion in the Many-Body localized phase
- Recent progress in many-body localization
- Quasilocal charges in integrable lattice systems
- Constructing local integrals of motion in the many-body localized phase
- Ergodicity breaking in a model showing many-body localization
- Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
- Review: Local Integrals of Motion in Many-Body Localized systems
- Thermal Fluctuations in Quantized Chaotic Systems
- Many-body delocalization as a quantum avalanche
- Explicit Local Integrals of Motion for the Many-Body Localized State
- A numerical canonical transformation approach to quantum many body problems
- Time Evolution of Many-Body Localized Systems with the Flow Equation Approach
- Possible experimental manifestations of the many-body localization
- Fixed points of Wegner-Wilson flows and many-body localization
- Strong Disorder RG approach - a short review of recent developments
- Thermalization and pseudolocality in extended quantum systems
- Entanglement Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group
- Many-body localization and delocalization from the perspective of Integrals of Motion
- Counting local integrals of motion in disordered spinless-fermion and Hubbard chains
- Explicit construction of local conserved operators in disordered many-body systems
- Flow towards diagonalization for Many-Body-Localization models : adaptation of the Toda matrix differential flow to random quantum spin chains
- Emergent local integrals of motion without a complete set of localized eigenstates
- Obtaining highly excited eigenstates of the localized XX chain via DMRG-X
- Stable Unitary Integrators for the Numerical Implementation of Continuous Unitary Transformations
- Almost-conserved operators in nearly many-body localized systems
- Local constants of motion imply information propagation
- Strong Disorder Real-Space Renormalization for the Many-Body-Localized phase of random Majorana models
- Interaction-Induced Characteristic Length in Strongly Many-Body Localized Systems
- Even and odd normalized zero modes in random interacting Majorana models respecting the Parity and the Time-Reversal-Symmetry