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J. L. Cardy, Operator content of two-dimensional conformally invariant theories
1986
Earlier work this paper cites.
R. Sasaki and I. Yamanaka, Virasoro Algebra, Vertex Operators, Quantum Sine-Gordon and Solvable Quantum Field Theories
1988
Earlier work this paper cites.
A. Sen, Some aspects of conformal field theories on the plane and higher genus Riemann surfaces
1990
Earlier work this paper cites.
M. Srednicki, Chaos and quantum thermalization
1994
Earlier work this paper cites.
V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
1996
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Gauge theory correlators from noncritical string theory
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
K. Krasnov, Holography and Riemann surfaces
2000
Earlier work this paper cites.
S. Popescu, A. J. Short, and A. Winter, Entanglement and the foundations of statistical mechanics
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, Thermalization and its mechanism for generic isolated quantum systems
2008
Earlier work this paper cites.
J. L. Cardy, O. A. Castro-Alvaredo, and B. Doyon, Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
Original
2008
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement entropy and conformal field theory
Original
2009
Earlier work this paper cites.
M. Headrick, Entanglement Renyi entropies in holographic theories
Original
2010
Earlier work this paper cites.
M. R. Gaberdiel, C. A. Keller, and R. Volpato, Genus Two Partition Functions of Chiral Conformal Field Theories
Original
2010
Earlier work this paper cites.

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2017

On thermality of CFT eigenstates

Basu, Pallab, Das, Diptarka, Datta, Shouvik et al.

Understand

The Eigenstate Thermalization Hypothesis (ETH) provides a way to understand how an isolated quantum mechanical system can be approximated by a thermal density matrix.

We find a class of operators in (1+1)-$d$ conformal field theories, consisting of quasi-primaries of the identity module, which satisfy the hypothesis only at the leading order in large central charge.
In the context of subsystem ETH, this plays a role in the deviation of the reduced density matrices, corresponding to a finite energy density eigenstate from its hypothesized thermal approximation.
The universal deviation in terms of the square of the trace-square distance goes as the 8th power of the subsystem fraction and is suppressed by powers of inverse central charge ($c$).

Built on

J. L. Cardy, Operator content of two-dimensional conformally invariant theories
1986
Earlier work this paper cites.
R. Sasaki and I. Yamanaka, Virasoro Algebra, Vertex Operators, Quantum Sine-Gordon and Solvable Quantum Field Theories
1988
Earlier work this paper cites.
A. Sen, Some aspects of conformal field theories on the plane and higher genus Riemann surfaces
1990
Earlier work this paper cites.
M. Srednicki, Chaos and quantum thermalization
1994
Earlier work this paper cites.
V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
1996
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Gauge theory correlators from noncritical string theory
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
K. Krasnov, Holography and Riemann surfaces
2000
Earlier work this paper cites.
S. Popescu, A. J. Short, and A. Winter, Entanglement and the foundations of statistical mechanics
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, Thermalization and its mechanism for generic isolated quantum systems
2008
Earlier work this paper cites.
J. L. Cardy, O. A. Castro-Alvaredo, and B. Doyon, Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
Original
2008
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement entropy and conformal field theory
Original
2009
Earlier work this paper cites.
M. Headrick, Entanglement Renyi entropies in holographic theories
Original
2010
Earlier work this paper cites.
M. R. Gaberdiel, C. A. Keller, and R. Volpato, Genus Two Partition Functions of Chiral Conformal Field Theories
Original
2010
Earlier work this paper cites.