Exact dynamics in the inhomogeneous central-spin model
Phys. Rev. B 76 (2007) 014304 We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by inhomogeneous Heisenberg couplings including a central magnetic field. This central-spin model describes decoherence in quantum bit systems. An exact formula for the dynamics of the central spi...
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| creator | Bortz, Michael Stolze, Joachim |
| description | Phys. Rev. B 76 (2007) 014304 We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by
inhomogeneous Heisenberg couplings including a central magnetic field. This
central-spin model describes decoherence in quantum bit systems. An exact
formula for the dynamics of the central spin is presented, based on the Bethe
ansatz. This formula is evaluated explicitly for initial conditions such that
the bath spins are completely polarized at the beginning. For this case we
find, after an initial decay, a persistent oscillatory behaviour of the central
spin. For a large number of bath spins $N_b$, the oscillation frequency is
proportional to $N_b$, whereas the amplitude behaves like $1/N_b$, to leading
order. No asymptotic decay due to the non-uniform couplings is observed, in
contrast to some recent studies. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0612382 |
| format | Article |
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inhomogeneous Heisenberg couplings including a central magnetic field. This
central-spin model describes decoherence in quantum bit systems. An exact
formula for the dynamics of the central spin is presented, based on the Bethe
ansatz. This formula is evaluated explicitly for initial conditions such that
the bath spins are completely polarized at the beginning. For this case we
find, after an initial decay, a persistent oscillatory behaviour of the central
spin. For a large number of bath spins $N_b$, the oscillation frequency is
proportional to $N_b$, whereas the amplitude behaves like $1/N_b$, to leading
order. No asymptotic decay due to the non-uniform couplings is observed, in
contrast to some recent studies.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0612382</identifier><language>eng</language><subject>Physics - Statistical Mechanics</subject><creationdate>2006-12</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0612382$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0612382$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1103/PhysRevB.76.014304$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Bortz, Michael</creatorcontrib><creatorcontrib>Stolze, Joachim</creatorcontrib><title>Exact dynamics in the inhomogeneous central-spin model</title><description>Phys. Rev. B 76 (2007) 014304 We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by
inhomogeneous Heisenberg couplings including a central magnetic field. This
central-spin model describes decoherence in quantum bit systems. An exact
formula for the dynamics of the central spin is presented, based on the Bethe
ansatz. This formula is evaluated explicitly for initial conditions such that
the bath spins are completely polarized at the beginning. For this case we
find, after an initial decay, a persistent oscillatory behaviour of the central
spin. For a large number of bath spins $N_b$, the oscillation frequency is
proportional to $N_b$, whereas the amplitude behaves like $1/N_b$, to leading
order. No asymptotic decay due to the non-uniform couplings is observed, in
contrast to some recent studies.</description><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA3NNAzsTA1NdBPLKrILNNLzs9L0c1NLNE3MDM0MrYw4mQwc61ITC5RSKnMS8zNTC5WyMxTKMlIBVIZ-bn56al5qfmlxQrJqXklRYk5usUFQOnc_JTUHB4G1rTEnOJUXijNzaDq5hri7KELtie-oCgzN7GoMh5kXzzQvniofcbEqgMAaIE7wg</recordid><startdate>20061215</startdate><enddate>20061215</enddate><creator>Bortz, Michael</creator><creator>Stolze, Joachim</creator><scope>GOX</scope></search><sort><creationdate>20061215</creationdate><title>Exact dynamics in the inhomogeneous central-spin model</title><author>Bortz, Michael ; Stolze, Joachim</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_06123823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Bortz, Michael</creatorcontrib><creatorcontrib>Stolze, Joachim</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bortz, Michael</au><au>Stolze, Joachim</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact dynamics in the inhomogeneous central-spin model</atitle><date>2006-12-15</date><risdate>2006</risdate><abstract>Phys. Rev. B 76 (2007) 014304 We study the dynamics of a single spin-1/2 coupled to a bath of spins-1/2 by
inhomogeneous Heisenberg couplings including a central magnetic field. This
central-spin model describes decoherence in quantum bit systems. An exact
formula for the dynamics of the central spin is presented, based on the Bethe
ansatz. This formula is evaluated explicitly for initial conditions such that
the bath spins are completely polarized at the beginning. For this case we
find, after an initial decay, a persistent oscillatory behaviour of the central
spin. For a large number of bath spins $N_b$, the oscillation frequency is
proportional to $N_b$, whereas the amplitude behaves like $1/N_b$, to leading
order. No asymptotic decay due to the non-uniform couplings is observed, in
contrast to some recent studies.</abstract><doi>10.48550/arxiv.cond-mat/0612382</doi><oa>free_for_read</oa></addata></record> |
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| title | Exact dynamics in the inhomogeneous central-spin model |
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