[PDF] Top 20 The Interplay of Localization and Interactions in Quantum Many Body Systems

... interacting many-boson system ...generic systems, the universal Luttinger parameter at criticality is K = 3 2 , and for particle-hole symmetric systems, it is K = ... See full document

... Stark many-body loc- alisation, which is discussed in ...no interactions, the question of ergodicity or at least some form of delocalisation is not relevant in this ... See full document

... Here, we make use of the exceptional microscopic under- standing and control over dissipative processes that is possible with cold atoms in optical lattices [36,37] to explore MBL in an open quantum system. ... See full document

... on quantum many-body systems in their many-body localized (MBL) ...such systems reach a unique ergodic state, their dynamics is characterized by slow relaxation manifested ... See full document

... Let us consider a many-particle electron-ion system at finite tempera- ture. In calculating the dynamics of both the electrons and ions, we must account for the fact that the ions evolve multiple orders of ... See full document

... isolated quantum many-body systems is not purely ...synthetic quantum systems, characterized by an unprece- dented degree of quantum control and ...such systems are ... See full document

... ergodic systems, the eigenstates are similar to random vectors in the Hilbert space (modulo global conservation laws, ...MBL systems can be obtained from product states by quasilocal unitary transformations ... See full document

... single quantum particle in one dimension which is sub- jected to an arbitrarily weak random potential exhibits exponential Anderson localization [7, ...of interactions, one enters the subject of ... See full document

... which interactions are abruptly turned ...finite-range interactions, information and correlations spread out in the system with a strict maximum group velocity ...1D systems, such states can be ... See full document

... a many-body system can also be taken out of equilibrium via periodic (Floquet) driving—a strategy which has received recent attention in the context of novel Floquet phases of matter [38, 56, 110, 116, 138, ... See full document

... iTEBD [49] is based on evolving an initial state in imaginary time by using a Trotter- Suzuki decomposition of the evolution operator. Like VUMPS, iTEBD works in the thermodynamic limit at any intermediate step, ... See full document

... mentioned Many–Body Perturbation Theory and ...non–local interactions in the calculations, something that with conventional methods is doable only at the price of introducing un- controllable ...the ... See full document

... of many-body localization ...interaction-driven quantum phase transition between an ergodic and a many-body localized phase, with the transition occurring in the ... See full document

... AMO systems (cold atoms and molecules, as well as trapped ions and photons) have been increasingly used to study strongly-interacting many-body ...these systems can be used to engineer ... See full document

... a quantum quench, known to be a sensitive probe of many-body localization: in the MBL phase, entanglement grows logarithmically in time [9, 11 – 14], while in the ergodic phase, as well as in ... See full document

... the systems are mixed, when there is noise, or entanglement with an ...as quantum fingerprinting [4] and quantum digital signatures ...compared quantum states; essentially we have to compare ... See full document

... interacting systems when viewed as a joint function of magnetic field and carrier ...interacting systems, we found strongly incompressible stripes of constant width around integer filling ... See full document

... energy so that the crystal properties are now expressed in terms of the parameters of the potential itself. We usually assume that the potential is a two body (central force) potential which Born and his co ... See full document

... true quantum capacity of a given correlated channel { E n } , in most cases such variational expressions are extremely difficult to ...(quantum) many-body systems, where in contrast ... See full document

... PI1ASE SPACE FOP BULATION OF TIE QUANTUM HANY BODY PROBLEM Thesis by Paul Hersh Levine In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy Ca lifornia Institute of Techno[.] ... See full document