Entanglement perturbation theory for quantum thermodynamics in one dimension
* SPEAKERS
Name
Affiliation
E-mail
Sung Gong Chung
Western Michigan Univ.
* HOST(Applicant)
Name
Affiliation
E-mail
Jihye Jeong
sec(at)apctp.org
* DATE / TIME
2013-05-29, 11:00AM
* PLACE
512 Seminar Room, APCTP, Pohang
* ABSTRACT
We have been developing EPT over the last several years for classical statistical mechanics in 2,3 dimensions, quantum ground states in 1,2 dimensions, elementary excitations in 1 dimension, as well as for quantum chemistry. The numerical instability, however, hampered the
further development of EPT in quantum 2 dimensions, the main source of difficulty being in the analysis of the 1D non-Hermitian systems. But the latter problem is equivalent to the quantum thermodynamics in one dimension. Another theoretical motivation of developing EPT quantum thermodynamics is to examine the effect of quantum criticality on thermodynamics. While we are not yet for the 2 dimensions of true interest, a similar observation is also expected in quasi 1 dimension, like various lattice models with next nearest neighbor interaction which show criticality. We here report on EPT thermodynamics of the spin 1/2 Heisenberg antiferromagnet. The algorithm should equally apply to lattice fermions and bosons, but most importantly with an expectation of much desired accuracy in 2D compared with DMRG.
