Quantum
Phase Transitions| Quantum
Phase Transitions |
In General > s.a. critical
phenomena; phase
transitions; quantum
tunneling; relation
with classical mechanics; states in statistical
mechanics.
* Idea: They occur at
zero temperature and involve the appearance of long-range correlations; They
take place at the "quantum critical" value of some other parameter
such as pressure, composition or magnetic field strength, and are due not to
thermal fluctuations but to the intricate structure of a strongly entangled
ground
state.
@ General references: Sondhi et al RMP(97)
[continuous]; Sachdev pw(99)apr;
Lombardo et al PRD(00)hp/99 [order
parameter]; Sachdev 01; Schofield pw(03)aug;
Shopova & Uzunov
PRP(03);
Carteret qp/04 [and
renormalization]; Continentino & Ferreira
PhyA(04)
[first-order]; Hamma qp/06 [and
Berry phases]; Zanardi et al qp/07 [differential
geometry and information framework]; Kruse et al a0809 [framework].
@ Fidelity-metric approach:
Gu a0811 [pedagogical];
Scherer et al a0907 [Lipkin-Meshkov-Glick model].
@ Entanglement: Vidal et al PRL(03)qp/02;
Vidal et al PRA(04)cm/03 [second-order], PRA(04)cm/03 [first-order];
Somma et al PRA(04)qp;
Chen JPA-cm/06 [and
scaling]; Anders & Vedral OSID(07)qp/06-in
[macroscopic]; Kopp et al AP(07)
[non-analyticity]; > s.a. ising
model.
@ Spin systems:
Biskup et al CMP(07);
Pan et al qp/07 [finite
periodic XX spin-1/2 chain]; Chang & Wang a0801 [XY
model]; Morrison & Parkins JPB(08)-a0805 [dissipation-driven];
Hoyos & Vojta PRL(08)
[dissipative Ising model, smeared transition]; Heshami & Raeisi a0909 [matrix
product state approach, XXZ spin-1 chain]; > s.a. ising
model.
@ Condensates: Mur-Petit PRA(09)-a0906 [spin-1 system in magnetic field]; > s.a. Bose-Einstein
Condensates.
@ Other systems: Porras & Cirac PRL(04)qp,
PRL(04)qp [trapped
ions and lasers]; Dunning et al JSM(06)qp [finite
systems]; Kargol et al RVMP(08)
[quantum anharmonic crystals]; > s.a. Anderson
Localization; Open Systems.
@ Semiclassical: Douçot & Simon JPA(98) [order from disorder].
In Field Theory > s.a. [quantum
gauge theories]; black-hole thermodynamics; collapse;
QCD phenomenology; QED [lattice]; singularities.
* Gauge theory: There is a phase transition between weak and strong
couplings.
@ Gauge theory: Miransky & Yamawaki PRD(97)
[conformal]; Aharony et al ATMP(04)ht/03 [deconfinement
and length scales]; Apolloni et al NPB(06)
[2D-Yang-Mills, large-N]; Liu et al NPB(09) [3D U(1)
gauge theory of matter fields].
@ And defect formation: Rivers et
al PLB(02)hp.
@ Quantum field theory: Gianinetti & Parola PLA(00)
[approach]; Zinn-Justin PRP(01)ht/00 [
43 renormalization];
Continentino 01; Kleinert & Schulte-Frohlinde
01 [4];
Höfling et al PRB(02)cm [3D
Gross-Neveu model]; Splittorff et al PRD(03)
[non-zero T and
chemical potential]; Volovik LNP(07)cm/06 [from
momentum-space topology]; > s.a. states
in quantum field theory [semiclassicality].
@ Lattice field theory: Cheluvaraja JPA(00)
[abelian gauge theory]; Sergeev TMP(04)
[3D]; van Enter
& Shlosman cm/05-in
[sigma models]; Zurek & Dorner PTRS(08)-a0807 [phase
transition in space]; Ostilli a0905 [from infinite dilution in Fock space].
@ Finite-temperature QCD: Meyer-Ortmanns RMP(96);
Meyer-Ortmanns & Reisz
01; Schaffner-Bielich PoS-a0709,
et al PoS-a0903
[and compact stars]; Sagert et al PRL(09)
[and core-collapse supernovae].
In the Early Universe > s.a. cosmological
constant; observational
cosmology;
inflation; quantum
gravity; topological
defects.
* Idea: Phase transitions
occur when broken symmetries are restored at high T; The electroweak
phase transition, which endows various particles with masses, and the QCD phase
transition, which gives rise to confinement
of quarks and gluons within hadrons in the true QCD vacuum, took place presumably
at around 10–11 s and between 10–5 and
10–4 s, respectively, or at temperatures
of about 300 GeV and 150 MeV.
@ Reviews: Gleiser CP(98)hp;
Hwang MPLA(03);
Straumann ap/04-in;
Boyanovsky et al ARNPS(06)hp;
Kibble PT(07)sep [and condensed matter].
@ General references: Coleman PRD(77), & Callan PRD(77);
Linde RPP(79);
Hiscock PRD(87)
[and black holes]; Huang CQG(93)gq/04 [quantum
field theory effects]; Goldman et al PLA(96)
[galaxy-galaxy correlations]; Sigl et al PRD(97)
[primordial B field]; Borghini et al JPG(00)hp [quark-hadron];
Gleiser & Trodden PLB(01)
[and fermion production]; Fraga & Venugopalan PhyA(05)
[first-order, finite-size effects]; Hwang IJMPA(08)
[QCD phase transition]; Easther et al a0907 [bubble nucleation from classical
transitions].
> Related topics: see sources
of gravitational
radiation.
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nov
2009