no code implementations • 22 Feb 2021 • Maarten Van Damme, Robijn Vanhove, Jutho Haegeman, Frank Verstraete, Laurens Vanderstraeten
Despite the explicit breaking of translation symmetry by the MPS representation, we show that momentum emerges as a good quantum number, and can be exploited for labeling excitations on top of MPS ground states.
Strongly Correlated Electrons Quantum Physics
no code implementations • 25 Aug 2020 • Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete
While the prevailing abstract categorical approach is sufficient to describe the structure of topological phases, explicit tensor network representations are required to simulate these systems on a computer, such as needed for calculating thresholds of quantum error-correcting codes based on string-nets with boundaries.
Quantum Physics High Energy Physics - Theory Mathematical Physics Mathematical Physics Quantum Algebra
3 code implementations • 21 Aug 2014 • Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete
In particular, our method is compatible with any Hamiltonian for which DMRG can be implemented efficiently and DMRG is obtained as a special case of imaginary time evolution with infinite time step.
Quantum Physics Strongly Correlated Electrons
2 code implementations • 22 Apr 2013 • Robert N. C. Pfeifer, Jutho Haegeman, Frank Verstraete
The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, loop quantum gravity, and quantum chemistry.
Strongly Correlated Electrons Computational Physics Quantum Physics
1 code implementation • 3 Jul 2012 • Ashley Milsted, Jutho Haegeman, Tobias J. Osborne, Frank Verstraete
We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems.
Strongly Correlated Electrons Quantum Physics
1 code implementation • 11 Mar 2011 • Jutho Haegeman, Bogdan Pirvu, David J. Weir, J. Ignacio Cirac, Tobias J. Osborne, Henri Verschelde, Frank Verstraete
A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated.
Quantum Physics Statistical Mechanics Strongly Correlated Electrons
1 code implementation • 4 Mar 2011 • Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pizorn, Henri Verschelde, Frank Verstraete
The algorithm is illustrated using both imaginary time and real-time examples.
Strongly Correlated Electrons Statistical Mechanics Quantum Physics
