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|Abstract:||We calculate the probability distribution of entanglement entropy S across a cut of a finite one-dimensional spin chain of length L at an infinite-randomness fixed point using Fisher’s strong randomness renormalization group (RG). Using the random transverse-field Ising model as an example, the distribution is shown to take the form (p)(S|L) similar to L-psi(k), where k equivalent to S/ln [L/L-0], the large deviation function psi(k) is found explicitly, and L-0 is a nonuniversal microscopic length. We discuss the implications of such a distribution on numerical techniques that rely on entanglement, such as matrix-product-state-based techniques. Our results are verified with numerical RG simulations, as well as the actual entanglement entropy distribution for the random transverse-field Ising model which we calculate for large L via a mapping to Majorana fermions.|
|Electronic Publication Date:||1-Mar-2017|
|Citation:||Devakul, Trithep, Majumdar, Satya N, Huse, David A. (2017). Probability distribution of the entanglement across a cut at an infinite-randomness fixed point. PHYSICAL REVIEW B, 95 (10.1103/PhysRevB.95.104204|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PHYSICAL REVIEW B|
|Version:||Final published version. Article is made available in OAR by the publisher's permission or policy.|
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