Indirect Quantum Tomography of Quadratic Hamiltonians
arXiv:1004.5018 · doi:10.1088/1367-2630/13/1/013019
Abstract
A number of many-body problems can be formulated using Hamiltonians that are quadratic in the creation and annihilation operators. Here, we show how such quadratic Hamiltonians can be efficiently estimated indirectly, employing very few resources. We find that almost all properties of the Hamiltonian are determined by its surface, and that these properties can be measured even if the system can only be initialised to a mixed state. Therefore our method can be applied to various physical models, with important examples including coupled nano-mechanical oscillators, hopping fermions in optical lattices, and transverse Ising chains.
References in corpus (9)
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Superconducting Circuits and Quantum Information
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Coupling strength estimation for spin chains despite restricted access
- Hamiltonian tomography in an access-limited setting without state initialization
- Spin dynamics for bosons in an optical lattice
- Indirect Hamiltonian Identification through a small gateway
- Rabi oscillations in a qubit coupled to a quantum two-level system
- Probing a composite spin-boson environment