DOI: 10.1063/1.460627. <i>T</i> 2 can be greater than 2<i>T</i>1 even at finite temperature

T 2 can be greater than 2T1 even at finite temperature

10.1063/1.460627

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The relaxation of a nondegenerate two-level quantum system linearly and off-diagonally coupled to a thermal bath of quantum-mechanical harmonic oscillators is studied. The population and phase relaxation times, T1 and T2, are calculated to fourth order in the system/bath interaction. Focus is on a specific model of the bath spectral density that is both Ohmic (proportional to frequency at low frequency) and Lorentzian, and which has the property that, in the semiclassical or high-temperature limit, it reproduces the stochastic model studied previously by Budimir and Skinner [J. Stat. Phys. 49, 1029 (1987)]. For this fully quantum-mechanical model, it is found that under certain conditions the standard inequality, T2≤2T1, is violated, demonstrating that this unusual result, which was originally derived from the (infinite-temperature) stochastic model, is valid at finite temperature as well.

Bibliography

Laird, B. B., & Skinner, J. L. (1991). T 2 can be greater than 2T1 even at finite temperature. The Journal of Chemical Physics, 94(6), 4405â4410.

Authors 2

Brian B. Laird (first)
James L. Skinner (additional)

References 8 Referenced 54

10.1063/1.460626 / J. Chem. Phys. (1991)
10.1007/BF01017558 / J. Stat. Phys. (1987)
10.1063/1.457648 / J. Chem. Phys. (1989)
10.1007/BF01008729 / J. Stat. Phys. (1973)
10.1016/0003-4916(83)90202-6 / Ann. Phys. (1983)
10.1063/1.448268 / J. Chem. Phys. (1985)
10.1103/PhysRevA.41.6596 / Phys. Rev. A (1990)
{'key': '2024021011011178800_r8'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:20 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 7:47 a.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 3:21 p.m.)
Issued	34 years, 5 months ago (March 15, 1991)
Published	34 years, 5 months ago (March 15, 1991)
Published Print	34 years, 5 months ago (March 15, 1991)

Funders 0

None

BibTeX

@article{Laird_1991, title={T 2 can be greater than 2T1 even at finite temperature}, volume={94}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.460627}, DOI={10.1063/1.460627}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Laird, Brian B. and Skinner, James L.}, year={1991}, month=mar, pages={4405–4410} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        2,
        10
      ]
    ],
    "date-time": "2024-02-10T20:21:17Z",
    "timestamp": 1707596477361
  },
  "reference-count": 8,
  "publisher": "AIP Publishing",
  "issue": "6",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1991,
        3,
        15
      ]
    ]
  },
  "abstract": "<jats:p>The relaxation of a nondegenerate two-level quantum system linearly and off-diagonally coupled to a thermal bath of quantum-mechanical harmonic oscillators is studied. The population and phase relaxation times, T1 and T2, are calculated to fourth order in the system/bath interaction. Focus is on a specific model of the bath spectral density that is both Ohmic (proportional to frequency at low frequency) and Lorentzian, and which has the property that, in the semiclassical or high-temperature limit, it reproduces the stochastic model studied previously by Budimir and Skinner [J. Stat. Phys. 49, 1029 (1987)]. For this fully quantum-mechanical model, it is found that under certain conditions the standard inequality, T2\u22642T1, is violated, demonstrating that this unusual result, which was originally derived from the (infinite-temperature) stochastic model, is valid at finite temperature as well.</jats:p>",
  "DOI": "10.1063/1.460627",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T12:20:17Z",
    "timestamp": 1027686017000
  },
  "page": "4405-4410",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 54,
  "title": "<i>T</i>\n          2 can be greater than 2<i>T</i>1 even at finite temperature",
  "prefix": "10.1063",
  "volume": "94",
  "author": [
    {
      "given": "Brian B.",
      "family": "Laird",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Institut f\u00fcr Festk\u00f6rperforschung des Forschungszentrums, J\u00fclich GmbH, Postfach 1913, D-5170 J\u00fclich, Germany"
        }
      ]
    },
    {
      "given": "James L.",
      "family": "Skinner",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024021011011178800_r1",
      "doi-asserted-by": "crossref",
      "first-page": "4391",
      "DOI": "10.1063/1.460626",
      "volume": "94",
      "year": "1991",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021011011178800_r2",
      "doi-asserted-by": "crossref",
      "first-page": "1029",
      "DOI": "10.1007/BF01017558",
      "volume": "49",
      "year": "1987",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024021011011178800_r3",
      "doi-asserted-by": "crossref",
      "first-page": "1775",
      "DOI": "10.1063/1.457648",
      "volume": "91",
      "year": "1989",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021011011178800_r4",
      "doi-asserted-by": "crossref",
      "first-page": "215",
      "DOI": "10.1007/BF01008729",
      "volume": "9",
      "year": "1973",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024021011011178800_r5",
      "doi-asserted-by": "crossref",
      "first-page": "374",
      "DOI": "10.1016/0003-4916(83)90202-6",
      "volume": "149",
      "year": "1983",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2024021011011178800_r6",
      "doi-asserted-by": "crossref",
      "first-page": "2708",
      "DOI": "10.1063/1.448268",
      "volume": "82",
      "year": "1985",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021011011178800_r7",
      "doi-asserted-by": "crossref",
      "first-page": "6596",
      "DOI": "10.1103/PhysRevA.41.6596",
      "volume": "41",
      "year": "1990",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021011011178800_r8"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/94/6/4405/18991838/4405_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/94/6/4405/18991838/4405_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        10
      ]
    ],
    "date-time": "2024-02-10T12:47:20Z",
    "timestamp": 1707569240000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/94/6/4405/221676/T2-can-be-greater-than-2T1-even-at-finite"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1991,
        3,
        15
      ]
    ]
  },
  "references-count": 8,
  "journal-issue": {
    "issue": "6",
    "published-print": {
      "date-parts": [
        [
          1991,
          3,
          15
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.460627",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1991,
        3,
        15
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1991,
        3,
        15
      ]
    ]
  }
}