Details
| Original language | English |
|---|---|
| Article number | 070601 |
| Journal | Physical Review Letters |
| Volume | 107 |
| Issue number | 7 |
| Publication status | Published - 10 Aug 2011 |
Abstract
We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical Review Letters, Vol. 107, No. 7, 070601, 10.08.2011.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time-dependent variational principle for quantum lattices
AU - Haegeman, Jutho
AU - Cirac, J. Ignacio
AU - Osborne, Tobias J.
AU - PiÅorn, Iztok
AU - Verschelde, Henri
AU - Verstraete, Frank
PY - 2011/8/10
Y1 - 2011/8/10
N2 - We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.
AB - We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.
UR - http://www.scopus.com/inward/record.url?scp=80051643494&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.107.070601
DO - 10.1103/PhysRevLett.107.070601
M3 - Article
AN - SCOPUS:80051643494
VL - 107
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 7
M1 - 070601
ER -