Variational-Correlations Approach to Quantum Many-Body Physics
Seminar
QUEST Center event
No
Speaker
Arbel Haim
Date
21/11/2019 - 14:30Add to Calendar
2019-11-21 14:30:00
2019-11-21 14:30:00
Variational-Correlations Approach to Quantum Many-Body Physics
I will present a variational method for studying the ground state of a quantum many-body Hamiltonian, which treats the correlation functions as variational parameters. This numerical approach is based on approximating the positivity of the density matrix in a controlled manner, and allows for obtaining the (approximate) ground state in polynomial time. Unlike the conventional variational principle which provides an upper bound on the ground-state energy, in this approach one obtains a lower bound on the ground-state energy. I will demonstrate the method on several one-dimensional spin 1/2 Hamiltonians. Possible extensions of the method will be discussed.
To book a meeting with Arbel click here
Resnick conference room - Resnick building 2nd floor
Department of Physics
physics.dept@mail.biu.ac.il
Asia/Jerusalem
public
Place
Resnick conference room - Resnick building 2nd floor
Abstract
I will present a variational method for studying the ground state of a quantum many-body Hamiltonian, which treats the correlation functions as variational parameters. This numerical approach is based on approximating the positivity of the density matrix in a controlled manner, and allows for obtaining the (approximate) ground state in polynomial time. Unlike the conventional variational principle which provides an upper bound on the ground-state energy, in this approach one obtains a lower bound on the ground-state energy. I will demonstrate the method on several one-dimensional spin 1/2 Hamiltonians. Possible extensions of the method will be discussed.
To book a meeting with Arbel click here
Last Updated Date : 16/11/2019
