Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second Rényi entropy of an interval away from the boundary can be computed exactly, provided the same conformal boundary condition is applied on both sides. The result...
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| Format: | Article |
| Language: | English |
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SciPost
2022-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.12.4.141 |
| _version_ | 1818015509805793280 |
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| author | Benoit Estienne, Yacine Ikhlef, Andrei Rotaru |
| author_facet | Benoit Estienne, Yacine Ikhlef, Andrei Rotaru |
| author_sort | Benoit Estienne, Yacine Ikhlef, Andrei Rotaru |
| collection | DOAJ |
| description | We consider the entanglement entropy in critical one-dimensional quantum
systems with open boundary conditions. We show that the second Rényi entropy
of an interval away from the boundary can be computed exactly, provided the
same conformal boundary condition is applied on both sides. The result involves
the annulus partition function. We compare our exact result with numerical
computations for the critical quantum Ising chain with open boundary
conditions. We find excellent agreement, and we analyse in detail the
finite-size corrections, which are known to be much larger than for a periodic
system. |
| first_indexed | 2024-04-14T06:58:00Z |
| format | Article |
| id | doaj.art-6a3a48cf0d754091bbf1c39a20083bd4 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-14T06:58:00Z |
| publishDate | 2022-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-6a3a48cf0d754091bbf1c39a20083bd42022-12-22T02:06:49ZengSciPostSciPost Physics2542-46532022-04-0112414110.21468/SciPostPhys.12.4.141Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundariesBenoit Estienne, Yacine Ikhlef, Andrei RotaruWe consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second Rényi entropy of an interval away from the boundary can be computed exactly, provided the same conformal boundary condition is applied on both sides. The result involves the annulus partition function. We compare our exact result with numerical computations for the critical quantum Ising chain with open boundary conditions. We find excellent agreement, and we analyse in detail the finite-size corrections, which are known to be much larger than for a periodic system.https://scipost.org/SciPostPhys.12.4.141 |
| spellingShingle | Benoit Estienne, Yacine Ikhlef, Andrei Rotaru Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries SciPost Physics |
| title | Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries |
| title_full | Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries |
| title_fullStr | Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries |
| title_full_unstemmed | Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries |
| title_short | Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries |
| title_sort | second renyi entropy and annulus partition function for one dimensional quantum critical systems with boundaries |
| url | https://scipost.org/SciPostPhys.12.4.141 |
| work_keys_str_mv | AT benoitestienneyacineikhlefandreirotaru secondrenyientropyandannuluspartitionfunctionforonedimensionalquantumcriticalsystemswithboundaries |