Imagine what you could do here. The Exploratory Design Group (XDG) is seeking a Systems Modeler Engineer to help us bridge the gap between theoretical physics and engineering reality. We are a diverse team of computational scientists, device physicists, and hardware engineers working to create technologies that do not exist yet.

Description:

We are looking for a "technical utility player": an experienced physicist or engineer with a strong mathematical bent who can adapt to whatever challenge the day brings. One month you might be modeling thermal noise in a novel sensor; the next you might be writing high-performance C++ code to simulate a complex system. You don't need to be an expert in everything, but you must have the fundamental physics intuition and coding skills to dive into new fields and solve problems that strictly hardware-focused or strictly software-focused teams cannot.","responsibilities":"Model Physical Systems: Create and validate mathematical models for complex hardware systems, capturing the interplay of thermodynamics, optics, and electronics.

Build the Solution: Translate your physical models into robust software (Python, Julia, C++, or MATLAB) to simulate performance, analyze data, or design lab prototypes.

Bridge the Gap: Work closely with device engineers and prototypes to interpret experimental data. Use your models to explain "why" the hardware is behaving the way it is.

Algorithm Development: Develop mathematical algorithms to extract signals from noisy data, applying principles from signal processing or estimation theory.

Feasibility Analysis: Help the team sort the impossible from the feasible by building quick, physics-based proof-of-concept simulations or devices for new ideas.

Preferred Qualifications:

PhD in Physics, Electrical Engineering, Applied Mathematics, or related field with 5+ years of industry experience in a hardware, electronics, or R&D environment.

Proficiency in scientific programming (Python, C++, or similar) with a track record of writing code to solve engineering problems.

Broad Physics Background: Experience in the consumer electronics or semiconductor industry, with exposure to sensors, noise modeling, or signal chains.

Mathematical Depth: Proven expertise with partial differential equations, linear algebra, nonlinear dynamics, or statistical modeling.

Signal Processing: Experience applying math to clean up or interpret real-world sensor data.

Adaptability: A history of taking on "undefined" technical tasks-learning the necessary math or physics on the fly to unblock a project.

Communication: Ability to explain complex mathematical concepts to hardware engineers and management.

Minimum Qualifications:

BS in Physics, Electrical Engineering, Applied Mathematics, or related field with 10 years relevant industry experience.

Experience building mathematical models of physical phenomena (e.g., thermal, electronic, or optical systems).

Experience programming with Python, C++, or similar.

Apple is an equal opportunity employer that is committed to inclusion and diversity. We seek to promote equal opportunity for all applicants without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, disability, Veteran status, or other legally protected characteristics. Learn more about your EEO rights as an applicant .

Pay & Benefits:

At Apple, base pay is one part of our total compensation package and is determined within a range. This provides the opportunity to progress as you grow and develop within a role. The base pay range for this role is between $172,100 and $305,600, and your base pay will depend on your skills, qualifications, experience, and location.

Apple employees also have the opportunity to become an Apple shareholder through participation in Apple's discretionary employee stock programs. Apple employees are eligible for discretionary restricted stock unit awards, and can purchase Apple stock at a discount if voluntarily participating in Apple's Employee Stock Purchase Plan. You'll also receive benefits including: Comprehensive medical and dental coverage, retirement benefits, a range of discounted products and free services, and for formal education related to advancing your career at Apple, reimbursement for certain educational expenses - including tuition. Additionally, this role might be eligible for discretionary bonuses or commission payments as well as relocation. Learn more about Apple Benefits.

Note: Apple benefit, compensation and employee stock programs are subject to eligibility requirements and other terms of the applicable plan or program.