%0 Generic %1 khemani2014eigenstate %A Khemani, Vedika %A Chandran, Anushya %A Kim, Hyungwon %A Sondhi, S. L. %D 2014 %K interesting %T Eigenstate Thermalization and Representative States on Subsystems %U http://arxiv.org/abs/1406.4863 %X We consider a quantum system A U B made up of degrees of freedom that can be partitioned into spatially disjoint regions A and B. When the full system is in a pure state in which regions A and B are entangled, the quantum mechanics of region A described without reference to its complement is traditionally assumed to require a reduced density matrix on A. While this is certainly true as an exact matter, we argue that under many interesting circumstances expectation values of typical operators anywhere inside A can be computed from a suitable pure state on A alone, with a controlled error. We use insights from quantum statistical mechanics - specifically the eigenstate thermalization hypothesis (ETH) - to argue for the existence of such "representative states".

@misc{khemani2014eigenstate, abstract = {We consider a quantum system A U B made up of degrees of freedom that can be partitioned into spatially disjoint regions A and B. When the full system is in a pure state in which regions A and B are entangled, the quantum mechanics of region A described without reference to its complement is traditionally assumed to require a reduced density matrix on A. While this is certainly true as an exact matter, we argue that under many interesting circumstances expectation values of typical operators anywhere inside A can be computed from a suitable pure state on A alone, with a controlled error. We use insights from quantum statistical mechanics - specifically the eigenstate thermalization hypothesis (ETH) - to argue for the existence of such "representative states".}, added-at = {2014-06-20T14:25:57.000+0200}, author = {Khemani, Vedika and Chandran, Anushya and Kim, Hyungwon and Sondhi, S. L.}, biburl = {https://www.bibsonomy.org/bibtex/2a3ef54e42f989361431c95672cd2a3a8/scavgf}, description = {Eigenstate Thermalization and Representative States on Subsystems}, interhash = {2233c5f50dc7e3c3f4fd4b50d7457f52}, intrahash = {a3ef54e42f989361431c95672cd2a3a8}, keywords = {interesting}, note = {cite arxiv:1406.4863}, timestamp = {2014-06-20T14:25:57.000+0200}, title = {Eigenstate Thermalization and Representative States on Subsystems}, url = {http://arxiv.org/abs/1406.4863}, year = 2014 }