Quantum glassiness in strongly correlated clean systems: An example of topological overprotection

被引:389
作者
Chamon, C [1 ]
机构
[1] Boston Univ, Dept Phys, Boston, MA 02215 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.94.040402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This Letter presents solvable examples of quantum many-body Hamiltonians of systems that are unable to reach their ground states as the environment temperature is lowered to absolute zero. These examples, three-dimensional generalizations of quantum Hamiltonians proposed for topological quantum computing, (1) have no quenched disorder, (2) have solely local interactions, (3) have an exactly solvable spectrum, (4) have topologically ordered ground states, and (5) have slow dynamical relaxation rates akin to those of strong structural glasses.
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页数:4
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共 22 条
[1]   Fragile-glass behavior of a short-range p-spin model [J].
Alvarez, D ;
Franz, S ;
Ritort, F .
PHYSICAL REVIEW B, 1996, 54 (14) :9756-9764
[2]   THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].
ANDERSON, PW .
SCIENCE, 1987, 235 (4793) :1196-1198
[3]  
BRAY AJ, 1980, J PHYS C SOLID STATE, V13, P655
[4]   Fluctuation-dissipation relations in the activated regime of simple strong-glass models [J].
Buhot, A ;
Garrahan, JP .
PHYSICAL REVIEW LETTERS, 2002, 88 (22) :4
[5]   QUANTUM TUNNELLING IN A DISSIPATIVE SYSTEM [J].
CALDEIRA, AO ;
LEGGETT, AJ .
ANNALS OF PHYSICS, 1983, 149 (02) :374-456
[6]   THE THEORY OF A GENERAL QUANTUM SYSTEM INTERACTING WITH A LINEAR DISSIPATIVE SYSTEM [J].
FEYNMAN, RP ;
VERNON, FL .
ANNALS OF PHYSICS, 1963, 24 (01) :118-173
[7]   KINETIC ISING-MODEL OF THE GLASS-TRANSITION [J].
FREDRICKSON, GH ;
ANDERSEN, HC .
PHYSICAL REVIEW LETTERS, 1984, 53 (13) :1244-1247
[8]   FACILITATED KINETIC ISING-MODELS AND THE GLASS-TRANSITION [J].
FREDRICKSON, GH ;
ANDERSEN, HC .
JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (11) :5822-5831
[9]   Coarse-grained microscopic model of glass formers [J].
Garrahan, JP ;
Chandler, D .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2003, 100 (17) :9710-9714
[10]   Glassiness through the emergence of effective dynamical constraints in interacting systems [J].
Garrahan, JP .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2002, 14 (07) :1571-1579