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'''Subir Sachdev''' is [[Herchel Smith]] [[Professor]] of [[Physics]]<ref>{{cite web | title=Subir Sachdev. Herchel Smith Professor of Physics, Harvard University | url=http://sachdev.physics.harvard.edu/ | publisher=Official website}}</ref> at [[Harvard University]] specializing in [[condensed matter]]. He was elected to the U.S. National
'''Subir Sachdev''' is [[Herchel Smith]] [[Professor]] of [[Physics]]<ref>{{cite web | title=Subir Sachdev. Herchel Smith Professor of Physics, Harvard University | url=http://sachdev.physics.harvard.edu/ | publisher=Official website}}</ref> at [[Harvard University]] specializing in [[condensed matter]]. He was elected to the U.S. National
Academy of Sciences in 2014, and received the [[Lars Onsager Prize]] from the [[American Physical Society]] and the [[Dirac Medal]] from the [[ICTP]] in 2018.
Academy of Sciences in 2014, and received the [[Lars Onsager Prize]] from the [[American Physical Society]] and the [[Dirac Medal]] from the [[ICTP]] in 2018.
He was a co-editor of the ''[[Annual Review of Condensed Matter Physics]]'' from 2017-2019.<ref>{{cite web |title=Annual Review of Condensed Matter Physics, Planning Editorial Committee - Volume 8, 2017  |url=https://www.annualreviews.org/db/directory?2017,conmatphys |website=Annual Reviews Directory |access-date=14 September 2021}}</ref><ref>{{cite web |title=Annual Review of Condensed Matter Physics, Planning Editorial Committee - Volume 10, 2019  |url=https://www.annualreviews.org/db/directory?2019,conmatphys |website=Annual Reviews Directory |access-date=14 September 2021}}</ref>
He was a co-editor of the ''[[Annual Review of Condensed Matter Physics]]'' from 2017-2019.<ref>{{cite web |title=Annual Review of Condensed Matter Physics, Planning Editorial Committee - Volume 8, 2017  |url=https://www.annualreviews.org/db/directory?2017,conmatphys |website=Annual Reviews Directory |access-date=14 September 2021}}</ref><ref>{{cite web |title=Annual Review of Condensed Matter Physics, Planning Editorial Committee - Volume 10, 2019  |url=https://www.annualreviews.org/db/directory?2019,conmatphys |website=Annual Reviews Directory |access-date=14 September 2021}}</ref>
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===One-dimensional quantum systems with an energy gap===
===One-dimensional quantum systems with an energy gap===


Sachdev and colloborators developed a formally exact theory for the non-zero temperature dynamics and transport of one-dimensional quantum systems with an energy gap.<ref name="SachdevYoung1997">{{cite journal|last1=Sachdev|first1=Subir|last2=Young|first2=A. P.|title=Low Temperature Relaxational Dynamics of the Ising Chain in a Transverse Field|journal=Physical Review Letters|volume=78|issue=11|year=1997|pages=2220–2223|issn=0031-9007|doi=10.1103/PhysRevLett.78.2220|bibcode=1997PhRvL..78.2220S|arxiv=cond-mat/9609185|s2cid=31110608}}</ref><ref name="SachdevDamle1997">{{cite journal|last1=Sachdev|first1=Subir|last2=Damle|first2=Kedar|title=Low Temperature Spin Diffusion in the One-Dimensional QuantumO(3)NonlinearσModel|journal=Physical Review Letters|volume=78|issue=5|year=1997|pages=943–946|issn=0031-9007|doi=10.1103/PhysRevLett.78.943|bibcode=1997PhRvL..78..943S|arxiv=cond-mat/9610115|s2cid=51363066}}</ref><ref name="DamleSachdev1998">{{cite journal|last1=Damle|first1=Kedar|last2=Sachdev|first2=Subir|title=Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures|journal=Physical Review B|volume=57|issue=14|year=1998|pages=8307–8339|issn=0163-1829|doi=10.1103/PhysRevB.57.8307|arxiv=cond-mat/9711014|bibcode=1998PhRvB..57.8307D|s2cid=15363782}}</ref> The diluteness of the quasiparticle excitations at low temperature allowed the use of semi-classical methods. The results were in good quantitative agreement with NMR<ref name="TakigawaAsano1996">{{cite journal|last1=Takigawa|first1=M.|last2=Asano|first2=T.|last3=Ajiro|first3=Y.|last4=Mekata|first4=M.|last5=Uemura|first5=Y. J.|title=Dynamics in theS=1One-Dimensional Antiferromagnet AgVP<sub>2</sub>S<sub>6</sub> via <sup>31</sup>P and <sup>51</sup>V NMR|journal=Physical Review Letters|volume=76|issue=12|year=1996|pages=2173–2176|issn=0031-9007|doi=10.1103/PhysRevLett.76.2173|pmid=10060624|bibcode=1996PhRvL..76.2173T}}</ref>  
Sachdev and collaborators developed a formally exact theory for the non-zero temperature dynamics and transport of one-dimensional quantum systems with an energy gap.<ref name="SachdevYoung1997">{{cite journal|last1=Sachdev|first1=Subir|last2=Young|first2=A. P.|title=Low Temperature Relaxational Dynamics of the Ising Chain in a Transverse Field|journal=Physical Review Letters|volume=78|issue=11|year=1997|pages=2220–2223|issn=0031-9007|doi=10.1103/PhysRevLett.78.2220|bibcode=1997PhRvL..78.2220S|arxiv=cond-mat/9609185|s2cid=31110608}}</ref><ref name="SachdevDamle1997">{{cite journal|last1=Sachdev|first1=Subir|last2=Damle|first2=Kedar|title=Low Temperature Spin Diffusion in the One-Dimensional QuantumO(3)NonlinearσModel|journal=Physical Review Letters|volume=78|issue=5|year=1997|pages=943–946|issn=0031-9007|doi=10.1103/PhysRevLett.78.943|bibcode=1997PhRvL..78..943S|arxiv=cond-mat/9610115|s2cid=51363066}}</ref><ref name="DamleSachdev1998">{{cite journal|last1=Damle|first1=Kedar|last2=Sachdev|first2=Subir|title=Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures|journal=Physical Review B|volume=57|issue=14|year=1998|pages=8307–8339|issn=0163-1829|doi=10.1103/PhysRevB.57.8307|arxiv=cond-mat/9711014|bibcode=1998PhRvB..57.8307D|s2cid=15363782}}</ref> The diluteness of the quasiparticle excitations at low temperature allowed the use of semi-classical methods. The results were in good quantitative agreement with NMR<ref name="TakigawaAsano1996">{{cite journal|last1=Takigawa|first1=M.|last2=Asano|first2=T.|last3=Ajiro|first3=Y.|last4=Mekata|first4=M.|last5=Uemura|first5=Y. J.|title=Dynamics in theS=1One-Dimensional Antiferromagnet AgVP<sub>2</sub>S<sub>6</sub> via <sup>31</sup>P and <sup>51</sup>V NMR|journal=Physical Review Letters|volume=76|issue=12|year=1996|pages=2173–2176|issn=0031-9007|doi=10.1103/PhysRevLett.76.2173|pmid=10060624|bibcode=1996PhRvL..76.2173T}}</ref>  
and subsequent neutron scattering<ref name="XuBroholm2007">{{cite journal|last1=Xu|first1=G.|last2=Broholm|first2=C.|last3=Soh|first3=Y.-A.|last4=Aeppli|first4=G.|last5=DiTusa|first5=J. F.|last6=Chen|first6=Y.|last7=Kenzelmann|first7=M.|last8=Frost|first8=C. D.|last9=Ito|first9=T.|last10=Oka|first10=K.|last11=Takagi|first11=H.|title=Mesoscopic Phase Coherence in a Quantum Spin Fluid|journal=Science|volume=317|issue=5841|year=2007|pages=1049–1052|issn=0036-8075|doi=10.1126/science.1143831|pmid=17656685|arxiv=0804.0211|bibcode=2007Sci...317.1049X|s2cid=46317974}}</ref> observations on S=1 spin chains, and with NMR<ref name="KinrossFu2014">{{cite journal|last1=Kinross|first1=A. W.|last2=Fu|first2=M.|last3=Munsie|first3=T. J.|last4=Dabkowska|first4=H. A.|last5=Luke|first5=G. M.|last6=Sachdev|first6=Subir|last7=Imai|first7=T.|title=Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb<sub>2</sub>O<sub>6</sub>|journal=Physical Review X|volume=4|issue=3|year=2014|page=031008|issn=2160-3308|doi=10.1103/PhysRevX.4.031008|arxiv=1401.6917|bibcode=2014PhRvX...4c1008K|s2cid=53464054}}</ref> on the Transverse Field Ising chain compound CoNb<sub>2</sub>O<sub>6</sub>
and subsequent neutron scattering<ref name="XuBroholm2007">{{cite journal|last1=Xu|first1=G.|last2=Broholm|first2=C.|last3=Soh|first3=Y.-A.|last4=Aeppli|first4=G.|last5=DiTusa|first5=J. F.|last6=Chen|first6=Y.|last7=Kenzelmann|first7=M.|last8=Frost|first8=C. D.|last9=Ito|first9=T.|last10=Oka|first10=K.|last11=Takagi|first11=H.|title=Mesoscopic Phase Coherence in a Quantum Spin Fluid|journal=Science|volume=317|issue=5841|year=2007|pages=1049–1052|issn=0036-8075|doi=10.1126/science.1143831|pmid=17656685|arxiv=0804.0211|bibcode=2007Sci...317.1049X|s2cid=46317974}}</ref> observations on S=1 spin chains, and with NMR<ref name="KinrossFu2014">{{cite journal|last1=Kinross|first1=A. W.|last2=Fu|first2=M.|last3=Munsie|first3=T. J.|last4=Dabkowska|first4=H. A.|last5=Luke|first5=G. M.|last6=Sachdev|first6=Subir|last7=Imai|first7=T.|title=Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb<sub>2</sub>O<sub>6</sub>|journal=Physical Review X|volume=4|issue=3|year=2014|page=031008|issn=2160-3308|doi=10.1103/PhysRevX.4.031008|arxiv=1401.6917|bibcode=2014PhRvX...4c1008K|s2cid=53464054}}</ref> on the Transverse Field Ising chain compound CoNb<sub>2</sub>O<sub>6</sub>