DOI: 10.1063/1.476891. Dynamics of reduced density matrices: Classical memory versus quantum nonlocality

Dynamics of reduced density matrices: Classical memory versus quantum nonlocality

10.1063/1.476891

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The nonlocality in the path integral description of the reduced density matrix for a system interacting with a classical harmonic bath can be eliminated through the introduction of auxiliary variables, leading to Markovian equations. By contrast, the presence of an imaginary part in quantum mechanical response functions appears to prohibit similar approaches, necessitating explicit treatment of quantum nonlocality.

Bibliography

Makri, N. (1998). Dynamics of reduced density matrices: Classical memory versus quantum nonlocality. The Journal of Chemical Physics, 109(8), 2994â2998.

Authors 1

Nancy Makri (first)

References 15 Referenced 20

10.1063/1.438959 / J. Chem. Phys. (1980)
10.1007/BF01008729 / J. Stat. Phys. (1973)
10.1016/0003-4916(63)90068-X / Ann. Phys. (1963)
{'key': '2024021109141758800_r4'}
10.1103/RevModPhys.20.367 / Rev. Mod. Phys. (1948)
{'key': '2024021109141758800_r6'}
10.1016/0378-4371(83)90013-4 / Physica A (1983)
10.1016/0009-2614(94)00275-4 / Chem. Phys. Lett. (1994)
10.1063/1.469508 / J. Chem. Phys. (1995)
10.1063/1.469509 / J. Chem. Phys. (1995)
10.1016/0009-2614(95)01374-1 / Chem. Phys. Lett. (1996)
10.1016/S0010-4655(96)00130-0 / Comput. Phys. Commun. (1997)
10.1063/1.448942 / J. Chem. Phys. (1985)
10.1103/RevModPhys.17.323 / Rev. Mod. Phys. (1945)
10.1063/1.465379 / J. Chem. Phys. (1993)

Dates

Type	When
Created	23 years ago (July 26, 2002, 8:10 a.m.)
Deposited	1 year, 6 months ago (Feb. 11, 2024, 4:14 a.m.)
Indexed	1 year, 5 months ago (March 15, 2024, 10:14 p.m.)
Issued	27 years ago (Aug. 22, 1998)
Published	27 years ago (Aug. 22, 1998)
Published Print	27 years ago (Aug. 22, 1998)

Funders 0

None

BibTeX

@article{Makri_1998, title={Dynamics of reduced density matrices: Classical memory versus quantum nonlocality}, volume={109}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.476891}, DOI={10.1063/1.476891}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Makri, Nancy}, year={1998}, month=aug, pages={2994–2998} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        3,
        16
      ]
    ],
    "date-time": "2024-03-16T02:14:53Z",
    "timestamp": 1710555293202
  },
  "reference-count": 15,
  "publisher": "AIP Publishing",
  "issue": "8",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1998,
        8,
        22
      ]
    ]
  },
  "abstract": "<jats:p>The nonlocality in the path integral description of the reduced density matrix for a system interacting with a classical harmonic bath can be eliminated through the introduction of auxiliary variables, leading to Markovian equations. By contrast, the presence of an imaginary part in quantum mechanical response functions appears to prohibit similar approaches, necessitating explicit treatment of quantum nonlocality.</jats:p>",
  "DOI": "10.1063/1.476891",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T12:10:38Z",
    "timestamp": 1027685438000
  },
  "page": "2994-2998",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 20,
  "title": "Dynamics of reduced density matrices: Classical memory versus quantum nonlocality",
  "prefix": "10.1063",
  "volume": "109",
  "author": [
    {
      "given": "Nancy",
      "family": "Makri",
      "sequence": "first",
      "affiliation": [
        {
          "name": "School of Chemical Sciences, University of Illinois, 601 S. Goodwin Avenue, Urbana, Illinois\u200961801"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024021109141758800_r1",
      "doi-asserted-by": "crossref",
      "first-page": "99",
      "DOI": "10.1063/1.438959",
      "volume": "72",
      "year": "1980",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109141758800_r2",
      "doi-asserted-by": "crossref",
      "first-page": "215",
      "DOI": "10.1007/BF01008729",
      "volume": "9",
      "year": "1973",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024021109141758800_r3",
      "doi-asserted-by": "crossref",
      "first-page": "118",
      "DOI": "10.1016/0003-4916(63)90068-X",
      "volume": "24",
      "year": "1963",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2024021109141758800_r4"
    },
    {
      "key": "2024021109141758800_r5",
      "doi-asserted-by": "crossref",
      "first-page": "367",
      "DOI": "10.1103/RevModPhys.20.367",
      "volume": "20",
      "year": "1948",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2024021109141758800_r6"
    },
    {
      "key": "2024021109141758800_r7",
      "doi-asserted-by": "crossref",
      "first-page": "587",
      "DOI": "10.1016/0378-4371(83)90013-4",
      "volume": "121",
      "year": "1983",
      "journal-title": "Physica A"
    },
    {
      "key": "2024021109141758800_r8",
      "doi-asserted-by": "crossref",
      "first-page": "482",
      "DOI": "10.1016/0009-2614(94)00275-4",
      "volume": "221",
      "year": "1994",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024021109141758800_r9",
      "doi-asserted-by": "crossref",
      "first-page": "4600",
      "DOI": "10.1063/1.469508",
      "volume": "102",
      "year": "1995",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109141758800_r10",
      "doi-asserted-by": "crossref",
      "first-page": "4611",
      "DOI": "10.1063/1.469509",
      "volume": "102",
      "year": "1995",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109141758800_r11",
      "doi-asserted-by": "crossref",
      "first-page": "224",
      "DOI": "10.1016/0009-2614(95)01374-1",
      "volume": "249",
      "year": "1996",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024021109141758800_r12",
      "doi-asserted-by": "crossref",
      "first-page": "335",
      "DOI": "10.1016/S0010-4655(96)00130-0",
      "volume": "99",
      "year": "1997",
      "journal-title": "Comput. Phys. Commun."
    },
    {
      "key": "2024021109141758800_r13",
      "doi-asserted-by": "crossref",
      "first-page": "3400",
      "DOI": "10.1063/1.448942",
      "volume": "82",
      "year": "1985",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109141758800_r14",
      "doi-asserted-by": "crossref",
      "first-page": "323",
      "DOI": "10.1103/RevModPhys.17.323",
      "volume": "17",
      "year": "1945",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2024021109141758800_r15",
      "doi-asserted-by": "crossref",
      "first-page": "1344",
      "DOI": "10.1063/1.465379",
      "volume": "99",
      "year": "1993",
      "journal-title": "J. Chem. Phys."
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/109/8/2994/19087535/2994_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/109/8/2994/19087535/2994_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        11
      ]
    ],
    "date-time": "2024-02-11T09:14:30Z",
    "timestamp": 1707642870000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/109/8/2994/476140/Dynamics-of-reduced-density-matrices-Classical"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1998,
        8,
        22
      ]
    ]
  },
  "references-count": 15,
  "journal-issue": {
    "issue": "8",
    "published-print": {
      "date-parts": [
        [
          1998,
          8,
          22
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.476891",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1998,
        8,
        22
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1998,
        8,
        22
      ]
    ]
  }
}