PMID- 33929205 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20210716 IS - 1520-5207 (Electronic) IS - 1520-6106 (Print) IS - 1520-5207 (Linking) VI - 125 IP - 18 DP - 2021 May 13 TI - Hierarchical Equations-of-Motion Method for Momentum System-Bath Coupling. PG - 4863-4873 LID - 10.1021/acs.jpcb.1c02431 [doi] AB - For a broad class of quantum models of practical interest, we demonstrate that the Hamiltonian of the system nonlinearly coupled to a harmonic bath through the system and bath coordinates can be equivalently mapped into the Hamiltonian of the system bilinearly coupled to the bath through the system and bath momenta. We show that the Hamiltonian with bilinear system-bath momentum coupling can be treated by the hierarchical equations-of-motion (HEOM) method and present the corresponding proof-of-principle simulations. The developed methodology creates the opportunity to scrutinize a new family of nonlinear quantum systems by the numerically accurate HEOM method. FAU - Gelin, Maxim F AU - Gelin MF AD - School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China. FAU - Borrelli, Raffaele AU - Borrelli R AUID- ORCID: 0000-0002-0060-4520 AD - DISAFA, University of Torino, Grugliasco I-10095, Italy. FAU - Chen, Lipeng AU - Chen L AUID- ORCID: 0000-0003-1415-4767 AD - Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany. LA - eng PT - Journal Article DEP - 20210430 PL - United States TA - J Phys Chem B JT - The journal of physical chemistry. B JID - 101157530 SB - IM PMC - PMC8279550 COIS- The authors declare no competing financial interest. EDAT- 2021/05/01 06:00 MHDA- 2021/05/01 06:01 PMCR- 2021/07/14 CRDT- 2021/04/30 12:11 PHST- 2021/05/01 06:00 [pubmed] PHST- 2021/05/01 06:01 [medline] PHST- 2021/04/30 12:11 [entrez] PHST- 2021/07/14 00:00 [pmc-release] AID - 10.1021/acs.jpcb.1c02431 [doi] PST - ppublish SO - J Phys Chem B. 2021 May 13;125(18):4863-4873. doi: 10.1021/acs.jpcb.1c02431. Epub 2021 Apr 30.