Coherence, entanglement, and quantumness in closed and open systems with conserved charge, with an application to many-body localization

@article{Macieszczak2019CoherenceEA,
  title={Coherence, entanglement, and quantumness in closed and open systems with conserved charge, with an application to many-body localization},
  author={Katarzyna Macieszczak and Emanuele Levi and Tommaso Macr{\`i} and Igor Lesanovsky and Juan P. Garrahan},
  journal={Physical Review A},
  year={2019}
}
While the scaling of entanglement in a quantum system can be used to distinguish many-body quantum phases, it is usually hard to quantify the amount of entanglement in mixed states of open quantum systems, while measuring entanglement experimentally, even for the closed systems, requires in general quantum state tomography. In this work we show how to remedy this situation in system with a fixed or conserved charge, e.g., density or magnetization, due to an emerging relation between quantum… 
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References

SHOWING 1-10 OF 296 REFERENCES
Measuring Quantum Coherence with Entanglement.
TLDR
This work demonstrates the usefulness of the approach by proving that the fidelity-based geometric measure of coherence is a full convex coherence monotone, and deriving a closed formula for it on arbitrary single-qubit states.
Relating the Resource Theories of Entanglement and Quantum Coherence.
TLDR
This Letter analyzes the coherence and entanglement trade-offs in the tasks of state formation and resource distillation and introduces a new LIOCC monotone that completely characterizes a state's optimal rate of bipartite coherence distillation.
Measuring entanglement entropy in a quantum many-body system
TLDR
Making use of the single-site-resolved control of ultracold bosonic atoms in optical lattices, two identical copies of a many-body state are prepared and interfered to directly measure quantum purity, Rényi entanglement entropy, and mutual information.
Geometric measure of entanglement and applications to bipartite and multipartite quantum states
The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a
Relating Out-of-Time-Order Correlations to Entanglement via Multiple-Quantum Coherences.
TLDR
It is formally demonstrated that the multiple-quantum coherence spectra, a specific family of OTOCs well known in NMR, can be used as an entanglement witness and as a direct probe of multiparticle entanglements.
Measuring multipartite entanglement via dynamic susceptibilities
Entanglement plays a central role in our understanding of quantum many body physics, and is fundamental in characterising quantum phases and quantum phase transitions. Developing protocols to detect
Quantum Correlations, Separability, and Quantum Coherence Length in Equilibrium Many-Body Systems.
TLDR
It is shown numerically that quantum correlation functions generically exhibit a finite quantum coherence length, dictating the characteristic distance over which degrees of freedom cannot be considered as separable.
Witnessing entanglement without entanglement witness operators
TLDR
The proposed method is remarkably simple: multipartite entanglement is witness without relying on the tomographic reconstruction of the quantum state, or the realization of witness operators, and is robust against noise and decoherence occurring after the implementation of the parametric transformation.
Quantum variance: A measure of quantum coherence and quantum correlations for many-body systems
Quantum coherence is a fundamental common trait of quantum phenomena, from the interference of matter waves to quantum degeneracy of identical particles. Despite its importance, estimating and
Measures and applications of quantum correlations
Quantum information theory is built upon the realisation that quantum resources like coherence and entanglement can be exploited for novel or enhanced ways of transmitting and manipulating
...
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5
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