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We find a new effect for the behaviour of Von Neumann entropy. For this we derive the framework for describing Von Neumann entropy in non-Hermitian quantum systems and then apply it to a simple interacting PT symmetric bosonic system. We…

Quantum Physics · Physics 2019-08-01 Andreas Fring , Thomas Frith

An isolated quantum gas with a localized loss features a non-monotonic behavior of the particle loss rate as an incarnation of the quantum Zeno effect, as recently shown in experiments with cold atomic gases. While this effect can be…

Quantum Gases · Physics 2019-02-13 Heinrich Fröml , Alessio Chiocchetta , Corinna Kollath , Sebastian Diehl

Generalized PT symmetry provides crucial insight into the sign problem for two classes of models. In the case of quantum statistical models at non-zero chemical potential, the free energy density is directly related to the ground state…

High Energy Physics - Theory · Physics 2010-09-06 Peter N. Meisinger , Michael C. Ogilvie , Timothy D. Wiser

We study the dynamics of correlations in a paradigmatic setup to observe $\mathcal{PT}$-symmetric physics: a pair of coupled oscillators, one subject to a gain one to a loss. Starting from a coherent state, quantum correlations (QCs) are…

We discuss the finite temperature properties of the fermion correlation function near the fixed point theory of the nematic quantum critical point (QCP) of a metallic Fermi system. We show that though the fixed point theory is above its…

Strongly Correlated Electrons · Physics 2013-05-29 Michael J. Lawler , Eduardo Fradkin

More than 15 years ago, a new approach to quantum mechanics was suggested, in which Hermiticity of the Hamiltonian was to be replaced by invariance under a discrete symmetry, the product of parity and time-reversal symmetry, $\mathcal{PT}$.…

High Energy Physics - Theory · Physics 2015-06-04 Kimball A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , J. Wagner

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

We examine the properties of a one-dimensional (1D) Fermi gas with attractive intrinsic (Hubbard) interactions in the presence of spin-orbit coupling and Zeeman field by numerically computing the pair binding energy, excitation gap, and…

Strongly Correlated Electrons · Physics 2020-09-23 Monalisa Singh Roy , Manoranjan Kumar , Jay D. Sau , Sumanta Tewari

We propose a new type of quantum thermodynamic cycle whose efficiency is greater than the one of the classical Carnot cycle for the same conditions for a system when viewed as homogeneous. In our model this type of cycle only exists in the…

Quantum Physics · Physics 2024-08-15 Andreas Fring , Marta Reboiro

The interplay between the nonclassical features and the parity-time (PT) symmetry (or its breaking) is studied here by considering a PT symmetric system consisting of two cavities with gain and loss. The conditions for PT invariance is…

Quantum Physics · Physics 2022-06-10 Javid Naikoo , Kishore Thapliyal , Subhashish Banerjee , Anirban Pathak

Much has been learned about universal properties of the eigenstate entanglement entropy for one-dimensional lattice models, which is described by a Hermitian Hamiltonian. While very less of it has been understood for non-Hermitian systems.…

Statistical Mechanics · Physics 2021-06-25 Ranjan Modak , Bhabani Prasad Mandal

Non-Hermitian systems with parity-time symmetry have been developed rapidly and hold great promise for future applications. Unlike most existing works considering the symmetry of the free energy terms (e.g., gain-loss system), in this…

Quantum Physics · Physics 2017-11-21 Wenlin Li , Chong Li , Heshan Song

We study a one-dimensional system of interacting spinless fermions subject to a localized loss, where the interplay of gapless quantum fluctuations and particle interactions leads to an incarnation of the quantum Zeno effect of genuine…

Driving a quantum system out of equilibrium while preserving its subtle quantum mechanical correlations on large scales presents a major challenge, both fundamentally and for technological applications. At its core, this challenge is…

Statistical Mechanics · Physics 2026-01-28 Rohan Mittal , Tom Zander , Johannes Lang , Sebastian Diehl

The Ising limit of a conventional Hermitian parity-symmetric scalar quantum field theory is a correlated limit in which two bare Lagrangian parameters, the coupling constant $g$ and the {\it negative} mass squared $-m^2$, both approach…

High Energy Physics - Theory · Physics 2015-06-25 Carl M. Bender , Stefan Boettcher , H. F. Jones , Peter N. Meisinger

Under an appropriate symmetric bulk bipartition in a one-dimensional symmetry protected topological phase with the Affleck-Kennedy-Lieb-Tasaki matrix product state wave function for the odd integer spin chains, a bulk critical entanglement…

Strongly Correlated Electrons · Physics 2018-10-31 Zi-Qi Wang , Guo-Yi Zhu , Guang-Ming Zhang

We examine the weakly interacting atoms in an ultracold Fermi gas leading to a state of macroscopic coherence, from a theoretical perspective. It has been shown that this state can be described as a fermionic coherent state. These coherent…

Quantum Physics · Physics 2013-04-05 Arnab Ghosh , Sudarson Sekhar Sinha , Deb Shankar Ray

We show the boundedness of entanglement entropy for (bipartite) pure states of quantum spin chains implies split property of subsystems. As a corollary the infinite volume ground states for 1-dim spin chains with the spectral gap between…

Mathematical Physics · Physics 2011-09-28 Taku Matsui

We explore supersymmetry breaking in the light of a rich fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge using the functional renormalization group (RG). We relate the dynamical breaking of…

High Energy Physics - Theory · Physics 2013-05-29 Holger Gies , Franziska Synatschke , Andreas Wipf

Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form $g(i\phi)^{2+\delta}$, where $\delta$ is a real positive parameter, are physically acceptable in the sense…

High Energy Physics - Theory · Physics 2009-10-30 Carl M. Bender , Kimball A. Milton