How to reduce cache miss in SPSC queue pop function?

Question

I am working on optimizing a Single Producer Single Consumer (SPSC) queue in C++. The following is the miniman reproducible example for my implementation:

#include <atomic>
#include <cstddef>
#include <iostream>
#include <thread>

struct Queue {
    alignas(64) std::atomic<size_t> write_index; // Align to cache line size
    alignas(64) std::atomic<size_t> read_index;  // Align to cache line size
    int* data;
    size_t capacity;

    Queue(size_t cap) : write_index(0), read_index(0), capacity(cap + 1) {
        data = new int[capacity];
    }

    ~Queue() {
        delete[] data;
    }

    bool push(int val) {
        size_t write_index_local = write_index.load(std::memory_order_relaxed);
        size_t next_write_index = (write_index_local + 1) % capacity;

        if (next_write_index == read_index.load(std::memory_order_acquire)) {
            // Queue is full
            return false;
        }

        data[write_index_local] = val;
        write_index.store(next_write_index, std::memory_order_release);
        return true;
    }

    bool pop(int& val) {

        const size_t write_index_local = write_index.load(std::memory_order_acquire);
        const size_t read_index_local = read_index.load(std::memory_order_relaxed);

        if (read_index_local == write_index_local) {
            // Queue is empty
            return false;
        }


        val = data[read_index_local];
        size_t next_read_index = (read_index_local + 1) % capacity;
        read_index.store(next_read_index, std::memory_order_release);

        return true;
    }
};

void producer(Queue& queue) {
    for (int i = 0; i < 20; ++i) {
        while (!queue.push(i)) {
            // Busy-wait until there is space in the queue
        }
        std::cout << "Pushed: " << i << std::endl;
    }
}

void consumer(Queue& queue) {
    for (int i = 0; i < 20; ++i) {
        int val;
        while (!queue.pop(val)) {
            // Busy-wait until there is an item to pop
        }
        std::cout << "Popped: " << val << std::endl;
    }
}

int main() {
    Queue queue(10); // Create a queue with capacity 10 (internally 11)

    std::thread producer_thread(producer, std::ref(queue));
    std::thread consumer_thread(consumer, std::ref(queue));

    producer_thread.join();
    consumer_thread.join();

    return 0;
}

I'm observing two cache misses in pop function:

When fetching the write_index. When fetching the data at read_index. I want to optimize this to reduce the number of cache misses. Whenever write_index is changed, pop function has to fetch both write_index and the data. Ideally, I would like to fetch both the write_index and the data at the same time, to avoid cache miss while fetching data.

I thought about using prefetching techniques, but I'm not sure about the best approach for this scenario.

Is it possible to fetch both write_index and data at read_index together? Are there any specific data layout strategies or memory order considerations that can help in minimizing cache misses in this context?