Finite-temperature density matrix renormalization using an enlarged Hilbert space
By Adrian E. Feiguin, S. White. 2005
220 citations recorded by the source corpus.
We apply a generalization of the time-dependent density matrix renormalization group (DMRG) to study finite-temperature properties of several quantum spin chains, including the frustrated ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ model. We discuss several practical issues with the method, including use of quantum numbers and finite-size effects. We compare with transfer-matrix DMRG, finding that both methods produce excellent results.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/20f9b147d0364db4fab2fab07de3848de8092331
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In Atomic and Molecular Physics, and Optics
- T. Kohler
- Sebastian Paeckel
- Andreas Swoboda
- U. Schollwock
- Salvatore R. Manmana
- C. Hubig
- Andrew J. Daley
- Marcello Dalmonte
In Condensed Matter Physics
- T. Kohler
- Sebastian Paeckel
- Andreas Swoboda
- U. Schollwock
- Salvatore R. Manmana
- C. Hubig
- Andrew J. Daley
Citations in the corpus
- Thermodynamics (2021, unknown): “Note that due to the doubling of the number of sites when adding the ancillas, this already corresponds to a Hilbert space dimension of 2 14 .”
- Matrix product simulations of non-equilibrium steady states of quantum spin chains (2008, unknown): “(2009) P 02035 Contents”
- Time-evolution methods for matrix-product states (2019, background): “ounteredat finite temperatures, one therefore requires an additional ingredient. Two possible choices exist within the MPSframework: minimallyentangledtypicalthermalstates[64]andthermofielddoubletstates[8,65,66]. In the following, we will concentrate on thermofield doublet states or “purifications” of a”
- Quantum trajectories and open many-body quantum systems (2014, background): “Such density matrix representations can be used to represent finite-temperature states [233, 236], though finite temperature dynamics alone (without dissipative processes) can also be represented by use of ancilla states [238], or by sampling minimally entangled states [239].”