Dynamics of quantum dissipation systems interacting with bosonic canonical bath: hierarchical equations of motion approach
A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields. An exact hierarchical equations of motion formalism is constr...
Saved in:
| Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 75; no. 3 Pt 1; p. 031107 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.03.2007
|
| Online Access | Get full text |
| ISSN | 1539-3755 1550-2376 |
| DOI | 10.1103/PhysRevE.75.031107 |
Cover
| Abstract | A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields. An exact hierarchical equations of motion formalism is constructed on the basis of a calculus-on-path-integral algorithm, via the auxiliary influence generating functionals related to the interaction bath correlation functions in a parametrization expansion form. The corresponding continued-fraction Green's functions formalism for quantum dissipation is also presented. Proposed further is the principle of residue correction, not just for truncating the infinite hierarchy, but also for incorporating the small residue dissipation that may arise from the practical difference between the true and parametrized bath correlation functions. The final residue-corrected hierarchical equations of motion can therefore be used practically for the evaluation of arbitrary dissipative quantum systems. |
|---|---|
| AbstractList | A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields. An exact hierarchical equations of motion formalism is constructed on the basis of a calculus-on-path-integral algorithm, via the auxiliary influence generating functionals related to the interaction bath correlation functions in a parametrization expansion form. The corresponding continued-fraction Green's functions formalism for quantum dissipation is also presented. Proposed further is the principle of residue correction, not just for truncating the infinite hierarchy, but also for incorporating the small residue dissipation that may arise from the practical difference between the true and parametrized bath correlation functions. The final residue-corrected hierarchical equations of motion can therefore be used practically for the evaluation of arbitrary dissipative quantum systems. |
| Author | Xu, Rui-Xue Yan, Yijing |
| Author_xml | – sequence: 1 givenname: Rui-Xue surname: Xu fullname: Xu, Rui-Xue organization: Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, China – sequence: 2 givenname: Yijing surname: Yan fullname: Yan, Yijing |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/17500668$$D View this record in MEDLINE/PubMed |
| BookMark | eNpFkMlOwzAYhH0oogu8AAfkF2ix63iBGyplkSqBEJyj345NjBInxEmr8PSki8RppNHMd_imaBSqYBG6omRBKWE3b3kf3-12vZB8QdhQyRGaUM5u50xyPkbTGL8JYUumknM0ppITIoSaoN-HPkDpTcSVwz8dhLYrceZj9DW0vgo49rG1ZcQ-tLYB0_rwhXe-zbGuYhW8wQbCPqHAGtr8Dud-2DUmP1R2QO4xB3xZHYhQ100FJr9AZw6KaC9POUOfj-uP1fN88_r0srrfzA1LeDsXVCgqnVRKKqszwXVmDZGJWFrtlJPUGQ5cWGGldsw5BZmQsDROa8GTxLIZYkduF2rod1AUad34Epo-pSTd20vrwV5jtzaVPD3aG17Xx1fd6dJm_5eTOvYHZPN1-w |
| CitedBy_id | crossref_primary_10_1063_1674_0068_28_cjcp1506114 crossref_primary_10_1103_PhysRevA_98_032116 crossref_primary_10_1140_epjs_s11734_023_00919_0 crossref_primary_10_1002_wcms_1269 crossref_primary_10_52396_JUSTC_2022_0164 crossref_primary_10_1063_1_2938087 crossref_primary_10_1063_1_3095424 crossref_primary_10_1021_jp506974r crossref_primary_10_1021_jp1095618 crossref_primary_10_1016_j_physrep_2014_12_001 crossref_primary_10_1063_1_2713104 crossref_primary_10_1063_1_3078024 crossref_primary_10_1063_1_4967964 crossref_primary_10_1103_PhysRevA_96_032125 crossref_primary_10_1063_1_4908601 crossref_primary_10_1016_j_chemphys_2014_11_026 crossref_primary_10_1063_1_3491270 crossref_primary_10_1063_1_4953043 crossref_primary_10_1063_5_0094875 crossref_primary_10_1063_5_0151239 crossref_primary_10_1063_1_4803694 crossref_primary_10_1063_5_0095961 crossref_primary_10_1103_PhysRevA_86_012308 crossref_primary_10_1038_srep12753 crossref_primary_10_1088_1367_2630_aab651 crossref_primary_10_1007_s11467_016_0513_5 crossref_primary_10_1103_PhysRevB_97_235429 crossref_primary_10_1016_j_scib_2019_12_009 crossref_primary_10_1063_1_4914514 crossref_primary_10_1021_acs_jpcb_7b10412 crossref_primary_10_1063_1_4724193 crossref_primary_10_1063_1_3010886 crossref_primary_10_1103_PhysRevB_76_125416 crossref_primary_10_1063_1_3268922 crossref_primary_10_1063_1_4973610 crossref_primary_10_1063_1_3123526 crossref_primary_10_1007_s11426_015_5499_2 crossref_primary_10_1103_PhysRevA_106_043121 crossref_primary_10_1063_5_0153870 crossref_primary_10_1021_acs_jpca_1c02684 crossref_primary_10_1088_1674_0068_23_06_655_658 crossref_primary_10_1142_S0219749913500585 crossref_primary_10_1038_s41598_021_86553_z crossref_primary_10_1063_1_4723669 crossref_primary_10_1103_PhysRevA_102_023708 crossref_primary_10_1007_s11128_018_2071_y crossref_primary_10_1063_1674_0068_cjcp2109157 crossref_primary_10_1103_PhysRevB_90_045141 crossref_primary_10_1088_1367_2630_13_6_063040 crossref_primary_10_1007_s11467_016_0540_2 crossref_primary_10_1063_1_3159671 crossref_primary_10_1103_PhysRevA_97_063823 crossref_primary_10_1063_1674_0068_31_cjcp1804083 crossref_primary_10_1063_1_3271348 crossref_primary_10_1063_1674_0068_31_cjcp1806146 crossref_primary_10_1039_c003389h crossref_primary_10_1103_PhysRevResearch_3_043039 crossref_primary_10_1103_PhysRevA_98_012110 crossref_primary_10_1088_1367_2630_11_10_105037 crossref_primary_10_1103_PhysRevB_85_245427 crossref_primary_10_1016_j_chemphys_2016_07_005 crossref_primary_10_1103_PhysRevB_109_214312 crossref_primary_10_1103_PhysRevA_85_062323 crossref_primary_10_1021_jp072880a crossref_primary_10_1063_1_4968031 crossref_primary_10_1063_1_3653479 crossref_primary_10_1021_acs_jpca_5b11731 crossref_primary_10_1080_00268976_2018_1431407 crossref_primary_10_1002_andp_201500148 crossref_primary_10_1103_PhysRevA_102_032607 crossref_primary_10_1063_5_0123999 crossref_primary_10_1016_j_chemphys_2017_07_011 crossref_primary_10_1088_1402_4896_abcad0 crossref_primary_10_1088_1367_2630_12_8_085005 crossref_primary_10_1063_1_3077918 crossref_primary_10_1103_PhysRevA_94_062116 crossref_primary_10_1063_1_4914302 crossref_primary_10_1103_PhysRevA_87_022337 crossref_primary_10_1088_1674_0068_24_05_497_506 crossref_primary_10_1364_JOSAB_35_002192 crossref_primary_10_1021_acs_jpcb_1c02851 crossref_primary_10_1063_1_4905494 crossref_primary_10_1103_PhysRevA_103_032202 crossref_primary_10_1103_PhysRevA_95_042132 crossref_primary_10_1063_5_0053169 crossref_primary_10_1021_acs_jpca_2c03308 crossref_primary_10_1021_acs_chemrev_3c00643 crossref_primary_10_1103_PhysRevLett_129_096401 crossref_primary_10_1063_1_3602466 crossref_primary_10_1063_1_4905721 crossref_primary_10_1143_JPSJ_78_073802 crossref_primary_10_1063_1_4936831 crossref_primary_10_1063_1_3213013 crossref_primary_10_1088_1674_1056_ab8ac1 crossref_primary_10_1063_1_3293039 crossref_primary_10_1063_1_4863379 crossref_primary_10_1063_1_4773472 crossref_primary_10_1103_PhysRevB_105_054311 crossref_primary_10_1063_1_3484491 crossref_primary_10_1063_5_0134700 crossref_primary_10_1088_1367_2630_10_9_093016 crossref_primary_10_1063_1_4761929 crossref_primary_10_1002_jccs_202200222 crossref_primary_10_1021_jp2002244 crossref_primary_10_1103_PhysRevA_110_032620 crossref_primary_10_1063_1_3125003 crossref_primary_10_1016_j_chemphys_2009_12_002 crossref_primary_10_1016_j_chemphys_2018_08_046 crossref_primary_10_1088_1674_0068_20_04_438_444 crossref_primary_10_1002_andp_202000608 crossref_primary_10_1103_PhysRevA_95_062109 crossref_primary_10_1021_jp074164e crossref_primary_10_1063_1_4834035 crossref_primary_10_1103_PhysRevB_104_125401 crossref_primary_10_1103_PhysRevA_105_043706 |
| ContentType | Journal Article |
| DBID | NPM ADTOC UNPAY |
| DOI | 10.1103/PhysRevE.75.031107 |
| DatabaseName | PubMed Unpaywall for CDI: Periodical Content Unpaywall |
| DatabaseTitle | PubMed |
| DatabaseTitleList | PubMed |
| Database_xml | – sequence: 1 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 2 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| ExternalDocumentID | 10.1103/physreve.75.031107 17500668 |
| Genre | Journal Article |
| GroupedDBID | --- -~X 123 2-P 29O 3MX 6TJ 8NH ACGFO AENEX AEQTI AFFNX AFGMR AGDNE AJQPL ALMA_UNASSIGNED_HOLDINGS AUAIK CS3 DU5 EBS EJD F5P MVM NPBMV NPM OHT P2P PKN RNS S7W TN5 WH7 XJT YNT ZPR ADTOC ADXHL AECSF UNPAY |
| ID | FETCH-LOGICAL-c345t-616817f78878ebd65bdec07462ebf8f71fc5a56e6e7bf3ff8ad67a2cfbb6544e3 |
| IEDL.DBID | UNPAY |
| ISSN | 1539-3755 1550-2376 |
| IngestDate | Sun Oct 26 01:55:46 EDT 2025 Wed Feb 19 02:09:34 EST 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Issue | 3 Pt 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c345t-616817f78878ebd65bdec07462ebf8f71fc5a56e6e7bf3ff8ad67a2cfbb6544e3 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=http://link.aps.org/pdf/10.1103/PhysRevE.75.031107 |
| PMID | 17500668 |
| ParticipantIDs | unpaywall_primary_10_1103_physreve_75_031107 pubmed_primary_17500668 |
| PublicationCentury | 2000 |
| PublicationDate | 2007-03-01 |
| PublicationDateYYYYMMDD | 2007-03-01 |
| PublicationDate_xml | – month: 03 year: 2007 text: 2007-03-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | United States |
| PublicationPlace_xml | – name: United States |
| PublicationTitle | Physical review. E, Statistical, nonlinear, and soft matter physics |
| PublicationTitleAlternate | Phys Rev E Stat Nonlin Soft Matter Phys |
| PublicationYear | 2007 |
| SSID | ssj0032384 |
| Score | 1.980092 |
| Snippet | A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at... |
| SourceID | unpaywall pubmed |
| SourceType | Open Access Repository Index Database |
| StartPage | 031107 |
| Title | Dynamics of quantum dissipation systems interacting with bosonic canonical bath: hierarchical equations of motion approach |
| URI | https://www.ncbi.nlm.nih.gov/pubmed/17500668 http://link.aps.org/pdf/10.1103/PhysRevE.75.031107 |
| UnpaywallVersion | publishedVersion |
| Volume | 75 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1bT8IwGG0QYvTF-wUvpA8-yhzb2g7fiEqICcQYSfBpabvWGHCAYxr59fZrQUl88nlL0_Tr5fTrd85B6KLJDWyLVFqXlpIjQlmPSdMERHKfC01YZC1Zuj3a6Uf3AzIooeAndZENPT7J7Rv-JNVuUfvhFdRDPqqPO48Rz8zDBhDIK5QY_F1GlX7vofXshFGbZsVYq1OA3nUo-VgyZUwjkCwAYaTfRlbOnY0im_CvTz4arRww7W1H-sutLiHUlQy9YiY8Of-r2viPvu-grQXexC03QXZRSWV7aN3Wfcp8H81vnSN9jscaTwszzMUbhjf6RaU1dkrPOQZZCUuoyl4w5G6xGOegqotNaMaWW4mFAZPXuPMKlGbrsDLCauqUxG3zzjAIL1XMD1C_ffd006kv7BhMHCMyM5dMGjeYhvLDWImUEpEqCXYlgRI61qyhJeGEKqqY0KHWMU8p44HUQlASRSo8RGXTI3WMMFPmFuhLEjDqR1I1Y95QQRALs0MIP9B-FR25sCQTp7mRGJQD6CiuosufOP1-hIuMHybL-CaMJG6gT_73-ynadLlbqDE7Q-XZe6HODeiYiRpa6z10a4u59g3aotcP |
| linkProvider | Unpaywall |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1JSwMxGA2lRfTivtSNHDzacTozSabeilaKYBGxUE9DkklEWrs4M4r99eZLuoGnnmcIIV-Wly_few-hqwY3sC1SaU1aSo4IZS0mDRMQyX0uNGGRtWR56tB2N3rskV4JBYvUxbDv8XFm3_DHqXaL2g9voB7yRX23PEY8Mw_rQCCvUGLwdxlVup3n5psTRm2YFWOtTgF616DkY86UMY1AsgCEkZaNrJw7m8VwzH9_-GCwcsA87DjSX2Z1CaGupO8VufDk9L9q4xp930XbM7yJm26C7KGSGu6jDVv3KbMDNL13jvQZHmk8KcwwF58Y3uhnldbYKT1nGGQlLKFq-I4hd4vFKANVXWxCM7LcSiwMmLzF7Q-gNFuHlQFWE6ckbpt3hkF4rmJ-iLoPrde7dm1mx2DiGJHcXDJpXGcayg9jJVJKRKok2JUESuhYs7qWhBOqqGJCh1rHPKWMB1ILQUkUqfAIlU2P1AnCTJlboC9JwKgfSdWIeV0FQSzMDiH8QPtVdOzCkoyd5kZiUA6go7iKrhdxWn6Ei4wfJvP4JowkbqBP1_v9DG253C3UmJ2jcv5VqAsDOnJxOZtlf9Vu1gM |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Dynamics+of+quantum+dissipation+systems+interacting+with+bosonic+canonical+bath%3A+Hierarchical+equations+of+motion+approach&rft.jtitle=Physical+review.+E%2C+Statistical%2C+nonlinear%2C+and+soft+matter+physics&rft.date=2007-03-01&rft.issn=1539-3755&rft_id=info:doi/10.1103%2Fphysreve.75.031107&rft.externalDocID=10.1103%2Fphysreve.75.031107 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1539-3755&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1539-3755&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1539-3755&client=summon |