Matrix product states and variational methods applied to critical quantum field theory

We study the second-order quantum phase-transition of massive real scalar field theory with a quartic interaction ($\phi^4$ theory) in (1+1) dimensions on an infinite spatial lattice using matrix product states (MPS). We introduce and apply a naive variational conjugate gradient method, based on the time-dependent variational principle (TDVP) for imaginary time, to obtain approximate ground states, using a related ansatz for excitations to calculate the particle and soliton masses and to obtain the spectral density. We also estimate the central charge using finite-entanglement scaling. Our value for the critical parameter agrees well with recent Monte Carlo results, improving on an earlier study which used the related DMRG method, verifying that these techniques are well-suited to studying critical field systems. We also obtain critical exponents that agree, as expected, with those of the transverse Ising model. Additionally, we treat the special case of uniform product states (mean field theory) separately, showing that they may be used to investigate non-critical quantum field theories under certain conditions.Comment: 24 pages, 21 figures, with a minor improvement to the QFT sectio

A study of the impact of late night programming on student involvement at Rowan University

The purpose of this study was to investigate student attitudes toward Rowan After Hours (RAH) and to determine the program\u27s impact on student involvement. There were 365 respondents during the Spring 2010 semester. All respondents had attended at least one night of Rowan After Hours. A survey was used to gather attitudes toward various aspects of the campus late night program: Operations, Food Service, Activities, Professional Staff, and the Sense of Community. Students were given an opportunity to list what they like most and least about the program. Established research indicates a strong connection between students who socialize and higher academic achievement and retention. Research also indicates that students merely want a cool place on campus to socialize. The results of the study indicate that students felt RAH is held at a convenient time and agreed with statements supporting the late night activities being provided. The students also have a high level of agreement that Rowan University encourages student involvement. It can therefore be concluded that Rowan After Hours is fulfilling its mission statement and that students hold a positive attitude towards the program

Tensor network methods for quantum lattice systems

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Initiation in the Novellas of Henry James

This Master’s Thesis seeks to explain the process of initiation undergone by Henry James’s characters. Characters are chosen for initiation into forbidden knowledge, and, like the Biblical Adam and Eve, are exiled as a result. Though initiation is erotic, it is not sexual, and society falsely perceives a sexually charged relationship between the initiator and the initiate, also called the complementary pair. The initiate faces exile and death because of his forbidden knowledge. He no longer has a place in his society, which leads to his social death and eventually physical death. James’s reader is initiated along with the characters, becoming a critical reader who no longer sees reading as a passive activity but brings his own judgment to the text. The Jamesian Reader does not face the same fate as the initiate, but he does change substantively as a result of his new perspective on the text