# Generating accessible entanglement in bosons via pair-correlated tunneling

@article{Volkoff2019GeneratingAE, title={Generating accessible entanglement in bosons via pair-correlated tunneling}, author={Tyler Volkoff and Chris M. Herdman}, journal={Physical Review A}, year={2019} }

We consider an extended Bose-Hubbard model that includes pair-correlated tunneling. We demonstrate that a minimal four-mode implementation of this model exhibits a pair-correlated regime in addition to Mott insulator and superfluid regimes. We propose a low complexity variational subspace for the ground state of the system in the pair-correlated regime, which we find to be numerically exact in pure pair-tunneling limit. Additionally, we propose a parameter-free high fidelity model wave function…

## 7 Citations

### Operationally accessible entanglement of one-dimensional spinless fermions

- PhysicsPhysical Review A
- 2019

For indistinguishable itinerant particles subject to a superselection rule fixing their total number, a portion of the entanglement entropy under a spatial bipartition of the ground state is due to…

### PIGSFLI: A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons

- Physics
- 2022

A ground state path integral quantum Monte Carlo algorithm is introduced that allows for the simulation of lattice bosons at zero temperature. The method is successfully benchmarked against the one…

### Distillation of maximally correlated bosonic matter from many-body quantum coherence

- PhysicsQuantum
- 2020

The QCRTF framework is utilized to calculate the optimal asymptotic distillation rate of maximally correlated bosonic states both for particle number conserving resource states and resource states of indefinite particle number.

### Universal Compiling and (No-)Free-Lunch Theorems for Continuous-Variable Quantum Learning

- Computer SciencePRX Quantum
- 2021

A range of No-Free-Lunch theorems are proved, demonstrating a linear resource reduction for learning Gaussian unitaries using entangled coherent-Fock states and an exponential resource Reduction for learning arbitrary unitary using Two-Mode-Squeezed states.

### Efficient Trainability of Linear Optical Modules in Quantum Optical Neural Networks

- Physics
- 2020

The existence of "barren plateau landscapes" for generic discrete variable quantum neural networks, which obstructs efficient gradient-based optimization of cost functions defined by global…

### J un 2 02 1 EFFICIENT TRAINABILITY OF LINEAR OPTICAL MODULES IN QUANTUM OPTICAL NEURAL NETWORKS

- Physics
- 2021

The existence of “barren plateau landscapes” for generic discrete variable quantum neural networks, which obstructs efficient gradient-based optimization of cost functions defined by global…

### Entangled states of dipolar bosons generated in a triple-well potential

- Physics
- 2019

We study the generation of entangled states using a device constructed from dipolar bosons confined to a triple-well potential. Dipolar bosons possess controllable, long-range interactions. This…

## References

SHOWING 1-10 OF 83 REFERENCES

### Optimal and near-optimal probe states for quantum metrology of number-conserving two-mode bosonic Hamiltonians

- Physics
- 2016

We derive families of optimal and near-optimal probe states for quantum estimation of the coupling constants of a general two-mode number-conserving bosonic Hamiltonian describing one-body and…

### Pair tunneling of bosonic atoms in an optical lattice

- Physics
- 2009

We show that atom-molecule coupling with large detuning can cause effective hopping of pairs of bosonic atoms in a state-dependent optical lattice. Taking advantage of the high controllability of all…

### Coherent superposition of current flows in an atomtronic quantum interference device

- Physics
- 2014

We consider a correlated Bose gas tightly confined into a ring shaped lattice, in the presence of an artificial gauge potential inducing a persistent current through it. A weak link painted on the…

### Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field for Strongly Interacting Systems

- Physics
- 2017

Many useful properties of dilute Bose gases at ultra-low temperature are predicted precisely by the product-state ansatz, in which all particles are in the same quantum state. As particle-particle…

### THEORY OF MANY-BOSON SYSTEMS: PAIR THEORY

- Physics
- 1959

The many-boson system with repulsive interactions is treated by a variational method based on a variational trial state of an exponential pair- excitation type obtained by a generalization of that of…

### Twisted complex superfluids in optical lattices

- PhysicsScientific reports
- 2015

We show that correlated pair tunneling drives a phase transition to a twisted superfluid with a complex order parameter. This unconventional superfluid phase spontaneously breaks the time-reversal…

### Twisted superfluid phase in the extended one-dimensional Bose-Hubbard model

- Physics
- 2016

In one-dimensional systems a twisted superfluid phase is found which is induced by a spontaneous breaking of the time-reversal symmetry. Using the density-matrix renormalization group allows us to…

### Particle-Number-Conserving Bogoliubov Approximation for Bose-Einstein Condensates Using Extended Catalytic States

- Physics
- 2016

We encode the many-body wave function of a Bose-Einstein condensate (BEC) in the N-particle sector of an extended catalytic state. This catalytic state is a coherent state for the condensate mode and…

### Controlling correlated tunneling and superexchange interactions with ac-driven optical lattices.

- PhysicsPhysical review letters
- 2011

Through a periodic modulation of a biased tunnel contact, it is shown how photon-assisted superexchange processes constitute a novel approach to realize arbitrary XXZ spin models in ultracold quantum gases, where transverse and Ising-type spin couplings can be fully controlled in magnitude and sign.

### Squeezing and entanglement in a Bose–Einstein condensate

- PhysicsNature
- 2008

Spin squeezed states suitable for atomic interferometry are demonstrated by splitting a condensate into a few parts using a lattice potential by implying entanglement between the particles.