# Non-equilibrium thermodynamics of harmonically trapped bosons

@article{GarciaMarch2016NonequilibriumTO, title={Non-equilibrium thermodynamics of harmonically trapped bosons}, author={Miguel 'Angel Garc'ia-March and Thom{\'a}s Fogarty and Steve Campbell and Thomas Busch and Mauro Paternostro}, journal={New Journal of Physics}, year={2016}, volume={18} }

We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-sized bosonic quantum gases in a one-dimensional harmonic trap. We show that dynamical orthogonality can occur in these few-body systems with strong interactions after a quench and we find its occurrence analytically for an infinitely repulsive pair of atoms. We further show this phenomena is related to the fundamental excitations that dictate the dynamics from the spectral function. We establish a…

## 24 Citations

### Quantum quench in a harmonically trapped one-dimensional Bose gas

- Physics
- 2017

We study the non-equilibrium dynamics of a one-dimensional Bose gas trapped by a harmonic potential for a quench from zero to infinite interaction. The different thermodynamic limits required for the…

### Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility

- PhysicsSciPost Physics
- 2019

We design and explore a shortcut to adiabaticity (STA) for changing
the interaction strength between two ultracold, harmonically trapped
bosons. Starting from initially uncorrelated, non-interacting…

### Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one

- Physics
- 2020

We unravel the stationary properties and the interaction quench dynamics of two bosons, confined in a two-dimensional anisotropic harmonic trap. A transcendental equation is derived giving access to…

### Quench dynamics of two one-dimensional harmonically trapped bosons bridging attraction and repulsion

- PhysicsMolecular Physics
- 2019

ABSTRACT We unravel the nonequilibrium quantum dynamics of two harmonically confined bosons in one spatial dimension when performing an interaction quench from finite repulsive to attractive…

### Nonadiabatic Energy Fluctuations of Scale-Invariant Quantum Systems in a Time-Dependent Trap

- PhysicsEntropy
- 2020

In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms of the initial expectation values of the second moments of the Hamiltonian, square position, and squeezing operators.

### Sudden quench of harmonically trapped mass-imbalanced fermions

- PhysicsScientific Reports
- 2022

Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that…

### Nonequilibrium many-body dynamics in supersymmetric quenching

- PhysicsPhysical Review Research
- 2022

We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping…

### Quantum dynamics of two trapped bosons following infinite interaction quenches

- Physics
- 2018

We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both…

### Quantum quenches to the attractive one-dimensional Bose gas: exact results

- Physics
- 2016

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the…

### Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap.

- PhysicsPhysical chemistry chemical physics : PCCP
- 2020

The results indicate the possibility of controlling the molecular few-body magnetization with the external electric field and pave the way towards studying the magnetization of ultracold molecules trapped in optical tweezers or optical lattices and their application in quantum simulation of molecular multichannel many-body Hamiltonians and quantum information storing.

## References

SHOWING 1-10 OF 65 REFERENCES

### Fractional energy states of strongly interacting bosons in one dimension

- Physics
- 2014

We study two-component bosonic systems with strong inter-species and vanishing intra-species interactions. A new class of exact eigenstates is found with energies that are not sums of the…

### Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

- Physics
- 2014

We study a system of two bosons of one species and a third atom of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter- and intraspecies…

### Quenching small quantum gases: Genesis of the orthogonality catastrophe

- PhysicsPhysical Review A
- 2014

We study the dynamics of two strongly interacting bosons with an additional impurity atom trapped in a harmonic potential. Using exact numerical diagonalization we are able to fully explore the…

### Quantum dynamics of a single, mobile spin impurity

- PhysicsCLEO: 2013
- 2013

One of the elementary processes in quantum magnetism is the propagation of spin excitations. Here we study the quantum dynamics of a deterministically created spin-impurity atom, as it propagates in…

### Orthogonality catastrophe as a consequence of qubit embedding in an ultracold Fermi gas

- PhysicsPhysical Review A
- 2011

We investigate the behavior of a two-level atom coupled to a one-dimensional, ultracold Fermi gas. The sudden switching on of the scattering between the two entities leads to the loss of any…

### Sharp crossover from composite fermionization to phase separation in microscopic mixtures of ultracold bosons

- Physics
- 2013

We show that a two-component mixture of a few repulsively interacting ultracold atoms in a one-dimensional trap possesses very diverse quantum regimes and that the crossover between them can be…

### Quantum Simulation

- Physics
- 2013

One of the most active areas in atomic, molecular and optical physics is the use of ultracold atomic gases in optical lattices to simulate the behaviour of electrons in condensed matter systems. The…

### Reentrant behavior of the breathing-mode-oscillation frequency in a one-dimensional Bose gas

- Physics
- 2015

Exciting temporal oscillations of the density distribution is a high-precision method for probing ultracold trapped atomic gases. Interaction effects in their many-body dynamics are particularly…

### Quantum quenches to the attractive one-dimensional Bose gas: exact results

- Physics
- 2016

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the…

### Statistics of the work distribution for a quenched Fermi gas

- Physics
- 2014

The local quench of a Fermi gas, giving rise to the Fermi edge singularity and the Anderson orthogonality catastrophe, is an analytically tractable out-of-equilibrium problem in condensed matter. It…