Quantum Disentanglement Underlying Long-range Orders and Spontaneous Symmetry Breaking
نویسنده
چکیده
We consider relations between reduced density matrices in the configuration space of identical particles and those in Fock space, leading to the conclusion that diminishing of entanglement underlies off-diagonal long-range order, which is the hallmark of superconductivity and Bose-Einstein condensation. The discussion is also extended to show that disentanglement underlies various cases of long-range order and spontaneous symmetry breaking. We present some ideas on characterizing and experimentally measuring entanglement in many-body systems, and calculate the entanglement in nearest-neighbor RVB
منابع مشابه
Spontaneous Symmetry Breaking, Off-diagonal Long-range Order, and Nucleation of Quantum State
Spontaneous symmetry breaking is determined by quantum mechanical measurement, and is classified to two types according to whether Hamiltonian commutes the relevant observable, the average of which is the order parameter. A supplement regarding phases is given to the expansion postulate and validate ensemble description of many-particle systems. Interference between many-particle states, macros...
متن کاملGapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. In this work, we present some new understanding of topological order, including three main aspects. (1) It was beli...
متن کاملSchwartz IV - 4 : Spontaneous symmetry breaking
Spontaneous symmetry breaking is one of the most important concepts in quantum field theory. The distinction between spontaneous and explicit symmetry breaking is that, with spontaneous symmetry breaking the Lagrangian is invariant under the symmetry, but the ground state of the theory is not. With explicit symmetry breaking, there was never an exact symmetry to begin with. One usually associat...
متن کاملSpontaneous symmetry breaking in quantum mechanics
We present a mathematically simple procedure to explain spontaneous symmetry breaking in quantum systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a symmetry broken state in crystals, antiferromagnets, and even superconductors. It has the advantage that it automatically brings to the fore the main players in spontaneous symmetry br...
متن کاملChaos at the Crossroads of Spontaneous Symmetry Breakings: Novel Universality Classes
This thesis investigates quantum systems with underlying classically chaotic dynamics in the framework of spontaneous symmetry-breaking transitions. The main emphases are on: (i) Quantum-Classical correspondence in systems at a metal-to-insulator transition as seen through dynamical stability with respect to external perturbations, and (ii) the spontaneous breaking of combined parity and time-r...
متن کامل