Many-body localization in a quantum simulator with programmable random disorder

@article{Smith2016ManybodyLI,
  title={Many-body localization in a quantum simulator with programmable random disorder},
  author={Jacob W. Smith and Aaron C. E. Lee and Philip Richerme and Brian Neyenhuis and Paul W Hess and Philipp Hauke and Markus Heyl and David A. Huse and Christopher R. Monroe},
  journal={Nature Physics},
  year={2016},
  volume={12},
  pages={907-911}
}
Interacting quantum systems are expected to thermalize, but in some situations in the presence of disorder they can exist in localized states instead. This many-body localization is studied experimentally in a small system with programmable disorder. When a system thermalizes it loses all memory of its initial conditions. Even within a closed quantum system, subsystems usually thermalize using the rest of the system as a heat bath. Exceptions to quantum thermalization have been observed, but… 
Emulating Many-Body Localization with a Superconducting Quantum Processor.
TLDR
An experiment fully emulating the MBL dynamics with a 10-qubit superconducting quantum processor, which represents a spin-1/2 XY model featuring programmable disorder and long-range spin-spin interactions, and provides essential signatures of MBL, such as the imbalance due to the initial nonequilibrium, the violation of eigenstate thermalization hypothesis, and the long-time logarithmic growth of entanglement entropy.
Quantum Thermalization and Localization in a Trapped Ion Quantum Simulator
Title of dissertation: QUANTUM THERMALIZATION AND LOCALIZATION IN A TRAPPED ION QUANTUM SIMULATOR Jacob Smith, Doctor of Philosophy, 2016 Dissertation directed by: Professor Christopher Monroe Joint
Characterizing many-body localization via exact disorder-averaged quantum noise
Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantum coherence.
Signatures of Many-Body Localization in a Controlled Open Quantum System
In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times, even weak couplings to any thermal
Many-Body Delocalization in the Presence of a Quantum Bath
Closed generic quantum many-body systems may fail to thermalize under certain conditions even after long times, a phenomenon called many-body localization (MBL). Numerous studies have left no doubt
From Bloch oscillations to many-body localization in clean interacting systems
TLDR
It is demonstrated that nonrandom mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder, and a class of generic nonrandom models that fail to thermalize are constituted, which suggest new directions for experimentally exploring and understanding the phenomena of many- body localization.
Many-body localization, thermalization, and entanglement
Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic
Quantum order, entanglement and localization in many-body systems
The interplay of disorder and interactions can have remarkable effects on the physics of quantum systems. A striking example is provided by the long conjectured—and recently confirmed—phenomenon of
Stark Many-Body Localization on a Superconducting Quantum Processor
TLDR
A quantum device composed of 29 functional superconducting qubits is constructed, faithfully reproducing the relaxation dynamics of a nonintegrable spin model, and its flexible programmability highlights its potential in helping the understanding of nontrivial quantum many-body problems, in direct complement to simulations in classical computers.
Probing entanglement in a many-body–localized system
TLDR
This work experimentally establishes many-body localization as a qualitatively distinct phenomenon from localization in noninteracting, disordered systems in a disordered Bose-Hubbard chain.
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 63 REFERENCES
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
TLDR
This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.
Many-body localization and quantum ergodicity in disordered long-range Ising models
Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore
Unbounded growth of entanglement in models of many-body localization.
TLDR
The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems.
Thermalization and its mechanism for generic isolated quantum systems
TLDR
It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate
Anderson localization of a non-interacting Bose–Einstein condensate
TLDR
This work uses a non-interacting Bose–Einstein condensate to study Anderson localization of waves in disordered media and describes the crossover, finding that the critical disorder strength scales with the tunnelling energy of the atoms in the lattice.
Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator
TLDR
This prototypical quantum simulation points the way toward a new probe of frustrated quantum magnetism and perhaps the design of new quantum materials.
Chaos and quantum thermalization.
  • Srednicki
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
TLDR
It is shown that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey Berry's conjecture, and argued that these results constitute a sound foundation for quantum statistical mechanics.
Quasiparticle engineering and entanglement propagation in a quantum many-body system
TLDR
First, the entanglement distributed by quasiparticles as they trace out light-cone-like wavefronts is observed, and second, using the ability to tune the interaction range in the system, information propagation is observed in an experimental regime where the effective-light-cone picture does not apply.
Disorder-induced localization in a strongly correlated atomic Hubbard gas.
TLDR
This work observes the emergence of a disorder-induced insulating state in a strongly interacting atomic Fermi gas trapped in an optical lattice and measures localization that persists as the temperature of the gas is raised.
...
1
2
3
4
5
...