Abstract
Path integrals are a powerful method for calculating real time, finite temperature, and ground state properties of quantum systems. By exploiting some remarkable properties of the symmetric Trotter formula and the discrete Fourier transform, we arrive at a high-accuracy method for removing "time slice" errors in Trotter-approximated propagators. We provide an explicit demonstration of the method applied to the two-body density matrix of He4. Our method is simultaneously fast, high precision, and computationally simple and can be applied to a wide variety of quantum propagators.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 5495-5498 |
| Number of pages | 4 |
| Journal | Physical Review E |
| Volume | 51 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1995 |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
High-accuracy Trotter-formula method for path integrals. / Schmidt, Kevin; Lee, Michael A.
In: Physical Review E, Vol. 51, No. 6, 1995, p. 5495-5498.Research output: Contribution to journal › Article
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TY - JOUR
T1 - High-accuracy Trotter-formula method for path integrals
AU - Schmidt, Kevin
AU - Lee, Michael A.
PY - 1995
Y1 - 1995
N2 - Path integrals are a powerful method for calculating real time, finite temperature, and ground state properties of quantum systems. By exploiting some remarkable properties of the symmetric Trotter formula and the discrete Fourier transform, we arrive at a high-accuracy method for removing "time slice" errors in Trotter-approximated propagators. We provide an explicit demonstration of the method applied to the two-body density matrix of He4. Our method is simultaneously fast, high precision, and computationally simple and can be applied to a wide variety of quantum propagators.
AB - Path integrals are a powerful method for calculating real time, finite temperature, and ground state properties of quantum systems. By exploiting some remarkable properties of the symmetric Trotter formula and the discrete Fourier transform, we arrive at a high-accuracy method for removing "time slice" errors in Trotter-approximated propagators. We provide an explicit demonstration of the method applied to the two-body density matrix of He4. Our method is simultaneously fast, high precision, and computationally simple and can be applied to a wide variety of quantum propagators.
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UR - http://www.scopus.com/inward/citedby.url?scp=0009130044&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.51.5495
DO - 10.1103/PhysRevE.51.5495
M3 - Article
VL - 51
SP - 5495
EP - 5498
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 6
ER -